%PDF-1.3
1 0 obj
<<
/Kids [ 3 0 R 4 0 R 5 0 R 6 0 R 7 0 R 8 0 R 9 0 R 10 0 R 11 0 R 12 0 R 13 0 R 14 0 R 15 0 R 16 0 R 17 0 R 18 0 R 19 0 R 20 0 R 21 0 R 22 0 R 23 0 R 24 0 R 25 0 R 26 0 R ]
/Type /Pages
/Count 24
>>
endobj
2 0 obj
<<
/Producer (PyPDF2)
>>
endobj
3 0 obj
<<
/Contents 246 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/Im2 247 0 R
/Im1 248 0 R
/X1 252 0 R
>>
/Font <<
/F15 258 0 R
/F30 261 0 R
/F10 264 0 R
/F28 267 0 R
/F59 270 0 R
/F50 273 0 R
/F52 276 0 R
/F26 279 0 R
/F55 282 0 R
/F2 285 0 R
/F1 286 0 R
/F71 287 0 R
/F68 290 0 R
>>
/ProcSet [ /Text /ImageC /ImageB /PDF /ImageI ]
>>
/Trans <<
>>
/Rotate 0
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 293 0 R 295 0 R 297 0 R 299 0 R ]
/Type /Page
>>
endobj
4 0 obj
<<
/Contents 301 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F15 308 0 R
/F56 311 0 R
/F78 314 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 317 0 R 319 0 R 321 0 R 323 0 R 325 0 R 327 0 R 329 0 R 331 0 R 333 0 R 335 0 R 337 0 R 339 0 R 341 0 R 343 0 R 345 0 R 347 0 R 349 0 R 351 0 R 353 0 R ]
/Type /Page
/Thumb 355 0 R
>>
endobj
5 0 obj
<<
/Contents 358 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F28 368 0 R
/F35 371 0 R
/F50 374 0 R
/F27 377 0 R
/F59 380 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 383 0 R 385 0 R 387 0 R 389 0 R 391 0 R 393 0 R 395 0 R 397 0 R 399 0 R 401 0 R 403 0 R 405 0 R 407 0 R 409 0 R 411 0 R ]
/Type /Page
/Thumb 413 0 R
>>
endobj
6 0 obj
<<
/Contents 414 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F34 415 0 R
/F33 418 0 R
/F27 377 0 R
/F59 380 0 R
/F78 314 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 421 0 R 423 0 R 425 0 R 427 0 R 429 0 R 431 0 R 433 0 R 435 0 R 437 0 R 439 0 R ]
/Type /Page
/Thumb 441 0 R
>>
endobj
7 0 obj
<<
/Contents 442 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F33 418 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 443 0 R 445 0 R 447 0 R 449 0 R 451 0 R 453 0 R ]
/Type /Page
/Thumb 455 0 R
>>
endobj
8 0 obj
<<
/Contents 456 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F59 380 0 R
/F29 365 0 R
/F28 368 0 R
/F34 415 0 R
/F33 418 0 R
/F50 374 0 R
/F27 377 0 R
/F35 371 0 R
/F71 457 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 460 0 R 462 0 R ]
/Type /Page
/Thumb 464 0 R
>>
endobj
9 0 obj
<<
/Contents 465 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F59 380 0 R
/F35 371 0 R
/F82 466 0 R
/F79 469 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 472 0 R 474 0 R 476 0 R 478 0 R 480 0 R 482 0 R 484 0 R 486 0 R ]
/Type /Page
/Thumb 488 0 R
>>
endobj
10 0 obj
<<
/Contents 489 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F35 371 0 R
/F41 490 0 R
/F59 380 0 R
/F78 314 0 R
/F79 469 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 493 0 R 495 0 R 497 0 R 499 0 R 501 0 R 503 0 R 505 0 R 507 0 R 509 0 R 511 0 R ]
/Type /Page
/Thumb 513 0 R
>>
endobj
11 0 obj
<<
/Contents 514 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F28 368 0 R
/F35 371 0 R
/F50 374 0 R
/F27 377 0 R
/F59 380 0 R
/F82 466 0 R
/F79 469 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 515 0 R 517 0 R 519 0 R 521 0 R 523 0 R 525 0 R 527 0 R 529 0 R 531 0 R ]
/Type /Page
/Thumb 533 0 R
>>
endobj
12 0 obj
<<
/Contents 534 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F28 368 0 R
/F33 418 0 R
/F27 377 0 R
/F78 314 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 535 0 R 537 0 R 539 0 R ]
/Type /Page
/Thumb 541 0 R
>>
endobj
13 0 obj
<<
/Contents 542 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F33 418 0 R
/F27 377 0 R
/F35 371 0 R
/F78 314 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 543 0 R 545 0 R 547 0 R 549 0 R 551 0 R ]
/Type /Page
/Thumb 553 0 R
>>
endobj
14 0 obj
<<
/Contents 554 0 R
/Rotate 0
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F33 418 0 R
/F27 377 0 R
/F35 371 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/CropBox [ 0 0 595.276 841.89 ]
/Parent 1 0 R
/MediaBox [ 0 0 595.276 841.89 ]
/Thumb 555 0 R
/Type /Page
>>
endobj
15 0 obj
<<
/Contents 556 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F33 418 0 R
/F27 377 0 R
/F35 371 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 557 0 R 559 0 R 561 0 R 563 0 R 565 0 R ]
/Type /Page
/Thumb 567 0 R
>>
endobj
16 0 obj
<<
/Contents 568 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F28 368 0 R
/F33 418 0 R
/F50 374 0 R
/F27 377 0 R
/F35 371 0 R
/F78 314 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 569 0 R 571 0 R 573 0 R 575 0 R 577 0 R 579 0 R 581 0 R 583 0 R ]
/Type /Page
/Thumb 585 0 R
>>
endobj
17 0 obj
<<
/Contents 586 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F28 368 0 R
/F34 415 0 R
/F33 418 0 R
/F50 374 0 R
/F27 377 0 R
/F35 371 0 R
/F56 311 0 R
/F70 587 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 590 0 R 592 0 R 594 0 R 596 0 R ]
/Type /Page
/Thumb 598 0 R
>>
endobj
18 0 obj
<<
/Contents 599 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F31 600 0 R
/F29 365 0 R
/F28 368 0 R
/F33 418 0 R
/F50 374 0 R
/F27 377 0 R
/F35 371 0 R
/F70 587 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 603 0 R 605 0 R 607 0 R 609 0 R 611 0 R 613 0 R 615 0 R 617 0 R 619 0 R 621 0 R ]
/Type /Page
/Thumb 623 0 R
>>
endobj
19 0 obj
<<
/Contents 624 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F33 418 0 R
/F27 377 0 R
/F35 371 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 625 0 R 627 0 R 629 0 R 631 0 R 633 0 R 635 0 R 637 0 R 639 0 R 641 0 R 643 0 R ]
/Type /Page
/Thumb 645 0 R
>>
endobj
20 0 obj
<<
/Contents 646 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F33 418 0 R
/F27 377 0 R
/F35 371 0 R
/F56 311 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 647 0 R 649 0 R ]
/Type /Page
/Thumb 651 0 R
>>
endobj
21 0 obj
<<
/Contents 652 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F28 368 0 R
/F35 371 0 R
/F27 377 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 653 0 R 655 0 R 657 0 R ]
/Type /Page
/Thumb 659 0 R
>>
endobj
22 0 obj
<<
/Contents 660 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F27 377 0 R
/F29 365 0 R
/F30 362 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 661 0 R 663 0 R 665 0 R 667 0 R 669 0 R 671 0 R ]
/Type /Page
/Thumb 673 0 R
>>
endobj
23 0 obj
<<
/Contents 674 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F35 371 0 R
/F27 377 0 R
/F56 311 0 R
/F78 314 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 675 0 R 677 0 R ]
/Type /Page
/Thumb 679 0 R
>>
endobj
24 0 obj
<<
/Contents 680 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F28 368 0 R
/F33 418 0 R
/F27 377 0 R
/F35 371 0 R
/F56 311 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 681 0 R 683 0 R 685 0 R 687 0 R 689 0 R 691 0 R 693 0 R 695 0 R 697 0 R 699 0 R 701 0 R ]
/Type /Page
/Thumb 703 0 R
>>
endobj
25 0 obj
<<
/Contents 704 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F32 359 0 R
/F15 308 0 R
/F30 362 0 R
/F29 365 0 R
/F28 368 0 R
/F33 418 0 R
/F50 374 0 R
/F27 377 0 R
/F35 371 0 R
/F56 311 0 R
/F59 380 0 R
/F68 705 0 R
/F78 314 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 708 0 R 710 0 R 712 0 R 714 0 R 716 0 R 718 0 R 720 0 R 722 0 R ]
/Type /Page
/Thumb 724 0 R
>>
endobj
26 0 obj
<<
/Contents 725 0 R
/Parent 1 0 R
/Resources <<
/XObject <<
/X1 302 0 R
>>
/Font <<
/F15 308 0 R
/F28 368 0 R
/F59 380 0 R
/F50 374 0 R
/F68 705 0 R
/F56 311 0 R
>>
/ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ]
>>
/Rotate 0
/CropBox [ 0 0 595.276 841.89 ]
/MediaBox [ 0 0 595.276 841.89 ]
/Annots [ 726 0 R 728 0 R 730 0 R 732 0 R 734 0 R 736 0 R 738 0 R 740 0 R 742 0 R 744 0 R 746 0 R 748 0 R 750 0 R 752 0 R 754 0 R 756 0 R 758 0 R 760 0 R 762 0 R 764 0 R 766 0 R 768 0 R 770 0 R 772 0 R 774 0 R 776 0 R 778 0 R 780 0 R 782 0 R 784 0 R 786 0 R 788 0 R 790 0 R 792 0 R 794 0 R 796 0 R 798 0 R 800 0 R 802 0 R 804 0 R 806 0 R 808 0 R 810 0 R 812 0 R 814 0 R 816 0 R 818 0 R 820 0 R 822 0 R 824 0 R 826 0 R 828 0 R 830 0 R 832 0 R ]
/Type /Page
/Thumb 834 0 R
>>
endobj
27 0 obj
<<
/D [ 4 0 R /XYZ 83.338 737.74 null ]/S /GoTo
>>
endobj
28 0 obj
<<
/Dests 29 0 R
>>
endobj
29 0 obj
<<
/Names [ (section\052\0561) 27 0 R (section\052\0563) 30 0 R (equation\0564\05610) 31 0 R (equation\0564\05611) 32 0 R (equation\0564\05612) 33 0 R (equation\0564\05613) 34 0 R (equation\0564\05614) 35 0 R (cite\056poisson2) 36 0 R (cite\056poisson1) 37 0 R (section\052\0562) 38 0 R (cite\056bt1) 39 0 R (equation\0566\05626) 40 0 R (equation\0565\05624) 41 0 R (equation\0565\05625) 42 0 R (equation\0565\05622) 43 0 R (equation\0565\05623) 44 0 R (equation\0565\05620) 45 0 R (equation\0565\05621) 46 0 R (cite\056PenroseSynge) 47 0 R (equation\0566\05629) 48 0 R (equation\0566\05628) 49 0 R (equation\0567\05614) 50 0 R (equation\0567\05611) 51 0 R (equation\0567\05610) 52 0 R (equation\0567\05613) 53 0 R (equation\0567\05612) 54 0 R (subsection\0566\0562) 55 0 R (equation\0561\0563) 56 0 R (equation\0561\0562) 57 0 R (equation\0561\0561) 58 0 R (cite\056Hawking\056m001) 59 0 R (section\0566) 60 0 R (section\0567) 61 0 R (section\0564) 62 0 R (equation\0566\05631) 63 0 R (equation\0562\05619) 64 0 R (equation\0566\05632) 65 0 R (equation\0566\05610) 66 0 R (equation\0566\05633) 67 0 R (cite\056andy1) 68 0 R (equation\0566\05634) 69 0 R (cite\056andy2) 70 0 R (equation\0566\05635) 71 0 R (equation\0565\05613) 72 0 R (equation\0565\05612) 73 0 R (equation\0565\05611) 74 0 R (equation\0565\05610) 75 0 R (equation\0565\05617) 76 0 R (equation\0565\05616) 77 0 R (equation\0565\05615) 78 0 R (equation\0565\05614) 79 0 R (equation\0566\05638) 80 0 R (equation\0566\05639) 81 0 R (equation\0565\05619) 82 0 R (equation\0565\05618) 83 0 R (cite\056jelle) 84 0 R (cite\056wz) 85 0 R (equation\0562\0568) 86 0 R (cite\056xbkm) 87 0 R (cite\056koga) 88 0 R (equation\0566\05636) 89 0 R (equation\0566\05640) 90 0 R (equation\0564\0562) 91 0 R (equation\0564\0563) 92 0 R (equation\0564\0561) 93 0 R (equation\0564\0566) 94 0 R (equation\0564\0567) 95 0 R (equation\0564\0564) 96 0 R (equation\0564\0565) 97 0 R (equation\0566\05630) 98 0 R (equation\0564\0568) 99 0 R (equation\0564\0569) 100 0 R (equation\0566\05625) 101 0 R (equation\0566\0561) 102 0 R (equation\0566\0562) 103 0 R (equation\0566\05624) 104 0 R (cite\056NP) 105 0 R (equation\0566\0565) 106 0 R (equation\0566\0566) 107 0 R (equation\0566\0567) 108 0 R (equation\0566\0568) 109 0 R (equation\0566\05623) 110 0 R (equation\0566\05622) 111 0 R (equation\0566\05621) 112 0 R (equation\0566\05620) 113 0 R (subsection\0566\0561) 114 0 R (equation\0566\0563) 115 0 R (cite\056StSh) 116 0 R (equation\0566\0564) 117 0 R (page\05620) 118 0 R (page\05621) 119 0 R (page\05622) 120 0 R (page\05623) 121 0 R (section\052\0564) 122 0 R (cite\056dg2) 123 0 R (cite\056dg1) 124 0 R (equation\0566\0569) 125 0 R (cite\056Polchinski) 126 0 R (subsection\0567\0562) 127 0 R (subsection\0567\0561) 128 0 R (equation\0566\05627) 129 0 R (equation\0565\0567) 130 0 R (equation\0565\0566) 131 0 R (equation\0565\0565) 132 0 R (equation\0565\0564) 133 0 R (equation\0565\0563) 134 0 R (equation\0565\0562) 135 0 R (equation\0565\0561) 136 0 R (page\05615) 137 0 R (page\05614) 138 0 R (page\05617) 139 0 R (page\05616) 140 0 R (page\05611) 141 0 R (page\05610) 142 0 R (equation\0565\0569) 143 0 R (equation\0565\0568) 144 0 R (equation\0567\0565) 145 0 R (equation\0567\0564) 146 0 R (equation\0567\0567) 147 0 R (equation\0567\0566) 148 0 R (cite\056dggp) 149 0 R (equation\0567\0563) 150 0 R (equation\0567\0562) 151 0 R (equation\0567\0569) 152 0 R (equation\0567\0568) 153 0 R (cite\056Sfetsos) 154 0 R (equation\0566\05612) 155 0 R (equation\0566\05613) 156 0 R (Hfootnote\0561) 157 0 R (Hfootnote\0563) 158 0 R (Hfootnote\0562) 159 0 R (Hfootnote\0565) 160 0 R (Hfootnote\0564) 161 0 R (Hfootnote\0566) 162 0 R (section\0562) 163 0 R (section\0563) 164 0 R (section\0561) 165 0 R (page\05619) 166 0 R (equation\0566\05637) 167 0 R (page\05618) 168 0 R (cite\056DT2) 169 0 R (cite\056DT1) 170 0 R (section\0565) 171 0 R (equation\0563\0561) 172 0 R (equation\0563\0563) 173 0 R (equation\0563\0562) 174 0 R (cite\056ih2) 175 0 R (equation\0563\0564) 176 0 R (equation\0562\05618) 177 0 R (cite\056ih1) 178 0 R (equation\0562\05616) 179 0 R (equation\0562\05617) 180 0 R (equation\0562\05614) 181 0 R (equation\0562\05615) 182 0 R (equation\0562\05612) 183 0 R (equation\0562\05613) 184 0 R (equation\0562\05610) 185 0 R (equation\0562\05611) 186 0 R (Item\0561) 187 0 R (equation\0562\0569) 188 0 R (Item\0562) 189 0 R (equation\0562\0564) 190 0 R (equation\0562\0565) 191 0 R (equation\0562\0566) 192 0 R (equation\0562\0567) 193 0 R (equation\0562\0561) 194 0 R (equation\0562\0562) 195 0 R (equation\0562\0563) 196 0 R (page\05613) 197 0 R (page\05612) 198 0 R (page\0562) 199 0 R (equation\0566\05618) 200 0 R (equation\0566\05619) 201 0 R (cite\056BH) 202 0 R (cite\056BI) 203 0 R (cite\056Hawking) 204 0 R (equation\0566\05611) 205 0 R (equation\0566\05616) 206 0 R (equation\0566\05617) 207 0 R (equation\0566\05614) 208 0 R (equation\0566\05615) 209 0 R (page\0569) 210 0 R (page\0568) 211 0 R (page\0561) 212 0 R (equation\0567\0561) 213 0 R (page\0563) 214 0 R (equation\0562\05620) 215 0 R (page\0565) 216 0 R (page\0564) 217 0 R (page\0567) 218 0 R (page\0566) 219 0 R ]
>>
endobj
30 0 obj
<<
/D [ 25 0 R /XYZ 83.338 317.475 null ]/S /GoTo
>>
endobj
31 0 obj
<<
/D [ 13 0 R /XYZ 172.842 706.758 null ]/S /GoTo
>>
endobj
32 0 obj
<<
/D [ 13 0 R /XYZ 166.194 656.609 null ]/S /GoTo
>>
endobj
33 0 obj
<<
/D [ 13 0 R /XYZ 253.043 606.46 null ]/S /GoTo
>>
endobj
34 0 obj
<<
/D [ 13 0 R /XYZ 184.704 541.407 null ]/S /GoTo
>>
endobj
35 0 obj
<<
/D [ 13 0 R /XYZ 123.526 386.929 null ]/S /GoTo
>>
endobj
36 0 obj
<<
/D [ 25 0 R /XYZ 89.792 133.911 null ]/S /GoTo
>>
endobj
37 0 obj
<<
/D [ 25 0 R /XYZ 89.792 165.374 null ]/S /GoTo
>>
endobj
38 0 obj
<<
/D [ 25 0 R /XYZ 83.338 487.771 null ]/S /GoTo
>>
endobj
39 0 obj
<<
/D [ 26 0 R /XYZ 84.81 379.512 null ]/S /GoTo
>>
endobj
40 0 obj
<<
/D [ 20 0 R /XYZ 201.21 501.348 null ]/S /GoTo
>>
endobj
41 0 obj
<<
/D [ 16 0 R /XYZ 207.764 429.486 null ]/S /GoTo
>>
endobj
42 0 obj
<<
/D [ 16 0 R /XYZ 250.784 363.643 null ]/S /GoTo
>>
endobj
43 0 obj
<<
/D [ 16 0 R /XYZ 214.561 550.28 null ]/S /GoTo
>>
endobj
44 0 obj
<<
/D [ 16 0 R /XYZ 121.324 496.587 null ]/S /GoTo
>>
endobj
45 0 obj
<<
/D [ 16 0 R /XYZ 250.097 707.924 null ]/S /GoTo
>>
endobj
46 0 obj
<<
/D [ 16 0 R /XYZ 251.308 654.208 null ]/S /GoTo
>>
endobj
47 0 obj
<<
/D [ 26 0 R /XYZ 84.81 191.815 null ]/S /GoTo
>>
endobj
48 0 obj
<<
/D [ 20 0 R /XYZ 243.237 191.77 null ]/S /GoTo
>>
endobj
49 0 obj
<<
/D [ 20 0 R /XYZ 240.685 292.449 null ]/S /GoTo
>>
endobj
50 0 obj
<<
/D [ 25 0 R /XYZ 206.53 563.75 null ]/S /GoTo
>>
endobj
51 0 obj
<<
/D [ 24 0 R /XYZ 275.776 310.122 null ]/S /GoTo
>>
endobj
52 0 obj
<<
/D [ 24 0 R /XYZ 189.905 361.976 null ]/S /GoTo
>>
endobj
53 0 obj
<<
/D [ 25 0 R /XYZ 255.549 633.543 null ]/S /GoTo
>>
endobj
54 0 obj
<<
/D [ 24 0 R /XYZ 210.058 174.716 null ]/S /GoTo
>>
endobj
55 0 obj
<<
/D [ 20 0 R /XYZ 83.338 757.696 null ]/S /GoTo
>>
endobj
56 0 obj
<<
/D [ 5 0 R /XYZ 257.905 357.631 null ]/S /GoTo
>>
endobj
57 0 obj
<<
/D [ 5 0 R /XYZ 259.051 421.292 null ]/S /GoTo
>>
endobj
58 0 obj
<<
/D [ 5 0 R /XYZ 265.246 687.12 null ]/S /GoTo
>>
endobj
59 0 obj
<<
/D [ 26 0 R /XYZ 84.81 442.078 null ]/S /GoTo
>>
endobj
60 0 obj
<<
/D [ 16 0 R /XYZ 83.338 247.729 null ]/S /GoTo
>>
endobj
61 0 obj
<<
/D [ 23 0 R /XYZ 83.338 757.696 null ]/S /GoTo
>>
endobj
62 0 obj
<<
/D [ 12 0 R /XYZ 83.338 757.696 null ]/S /GoTo
>>
endobj
63 0 obj
<<
/D [ 21 0 R /XYZ 179.918 707.235 null ]/S /GoTo
>>
endobj
64 0 obj
<<
/D [ 10 0 R /XYZ 144.253 422.705 null ]/S /GoTo
>>
endobj
65 0 obj
<<
/D [ 21 0 R /XYZ 222.829 607.824 null ]/S /GoTo
>>
endobj
66 0 obj
<<
/D [ 18 0 R /XYZ 149.392 724.538 null ]/S /GoTo
>>
endobj
67 0 obj
<<
/D [ 21 0 R /XYZ 249.264 552.769 null ]/S /GoTo
>>
endobj
68 0 obj
<<
/D [ 26 0 R /XYZ 84.81 348.229 null ]/S /GoTo
>>
endobj
69 0 obj
<<
/D [ 21 0 R /XYZ 261.152 488.671 null ]/S /GoTo
>>
endobj
70 0 obj
<<
/D [ 26 0 R /XYZ 84.81 491.493 null ]/S /GoTo
>>
endobj
71 0 obj
<<
/D [ 21 0 R /XYZ 253.748 352.139 null ]/S /GoTo
>>
endobj
72 0 obj
<<
/D [ 15 0 R /XYZ 242.546 614.963 null ]/S /GoTo
>>
endobj
73 0 obj
<<
/D [ 15 0 R /XYZ 115.467 660.588 null ]/S /GoTo
>>
endobj
74 0 obj
<<
/D [ 15 0 R /XYZ 258.228 729.979 null ]/S /GoTo
>>
endobj
75 0 obj
<<
/D [ 14 0 R /XYZ 171.192 137.669 null ]/S /GoTo
>>
endobj
76 0 obj
<<
/D [ 15 0 R /XYZ 224.263 219.296 null ]/S /GoTo
>>
endobj
77 0 obj
<<
/D [ 15 0 R /XYZ 162.768 357.844 null ]/S /GoTo
>>
endobj
78 0 obj
<<
/D [ 15 0 R /XYZ 233.051 428.038 null ]/S /GoTo
>>
endobj
79 0 obj
<<
/D [ 15 0 R /XYZ 217.371 562.554 null ]/S /GoTo
>>
endobj
80 0 obj
<<
/D [ 22 0 R /XYZ 237.413 498.795 null ]/S /GoTo
>>
endobj
81 0 obj
<<
/D [ 22 0 R /XYZ 227.647 441.349 null ]/S /GoTo
>>
endobj
82 0 obj
<<
/D [ 15 0 R /XYZ 213.941 137.669 null ]/S /GoTo
>>
endobj
83 0 obj
<<
/D [ 15 0 R /XYZ 208.113 178.997 null ]/S /GoTo
>>
endobj
84 0 obj
<<
/D [ 26 0 R /XYZ 84.81 223.098 null ]/S /GoTo
>>
endobj
85 0 obj
<<
/D [ 26 0 R /XYZ 84.81 410.795 null ]/S /GoTo
>>
endobj
86 0 obj
<<
/D [ 8 0 R /XYZ 187.235 304.787 null ]/S /GoTo
>>
endobj
87 0 obj
<<
/D [ 26 0 R /XYZ 84.81 254.381 null ]/S /GoTo
>>
endobj
88 0 obj
<<
/D [ 26 0 R /XYZ 84.81 603.473 null ]/S /GoTo
>>
endobj
89 0 obj
<<
/D [ 21 0 R /XYZ 235.123 175.166 null ]/S /GoTo
>>
endobj
90 0 obj
<<
/D [ 22 0 R /XYZ 220.942 381.266 null ]/S /GoTo
>>
endobj
91 0 obj
<<
/D [ 12 0 R /XYZ 249.784 547.44 null ]/S /GoTo
>>
endobj
92 0 obj
<<
/D [ 12 0 R /XYZ 260.76 498.871 null ]/S /GoTo
>>
endobj
93 0 obj
<<
/D [ 12 0 R /XYZ 273.426 679.061 null ]/S /GoTo
>>
endobj
94 0 obj
<<
/D [ 12 0 R /XYZ 176.058 345.76 null ]/S /GoTo
>>
endobj
95 0 obj
<<
/D [ 12 0 R /XYZ 261.028 289.852 null ]/S /GoTo
>>
endobj
96 0 obj
<<
/D [ 12 0 R /XYZ 265.031 445.92 null ]/S /GoTo
>>
endobj
97 0 obj
<<
/D [ 12 0 R /XYZ 200.174 392.97 null ]/S /GoTo
>>
endobj
98 0 obj
<<
/D [ 20 0 R /XYZ 288.406 135.665 null ]/S /GoTo
>>
endobj
99 0 obj
<<
/D [ 12 0 R /XYZ 189.687 220.615 null ]/S /GoTo
>>
endobj
100 0 obj
<<
/D [ 12 0 R /XYZ 183.145 135.665 null ]/S /GoTo
>>
endobj
101 0 obj
<<
/D [ 20 0 R /XYZ 235.8 641.615 null ]/S /GoTo
>>
endobj
102 0 obj
<<
/D [ 17 0 R /XYZ 226.279 714.233 null ]/S /GoTo
>>
endobj
103 0 obj
<<
/D [ 17 0 R /XYZ 164.158 669.785 null ]/S /GoTo
>>
endobj
104 0 obj
<<
/D [ 19 0 R /XYZ 100.6 156.88 null ]/S /GoTo
>>
endobj
105 0 obj
<<
/D [ 26 0 R /XYZ 84.81 285.664 null ]/S /GoTo
>>
endobj
106 0 obj
<<
/D [ 17 0 R /XYZ 217.135 454.888 null ]/S /GoTo
>>
endobj
107 0 obj
<<
/D [ 17 0 R /XYZ 219.166 387.144 null ]/S /GoTo
>>
endobj
108 0 obj
<<
/D [ 17 0 R /XYZ 244.844 319.401 null ]/S /GoTo
>>
endobj
109 0 obj
<<
/D [ 17 0 R /XYZ 175.814 236.567 null ]/S /GoTo
>>
endobj
110 0 obj
<<
/D [ 19 0 R /XYZ 253.537 249.052 null ]/S /GoTo
>>
endobj
111 0 obj
<<
/D [ 19 0 R /XYZ 197.589 305.957 null ]/S /GoTo
>>
endobj
112 0 obj
<<
/D [ 19 0 R /XYZ 238.11 362.567 null ]/S /GoTo
>>
endobj
113 0 obj
<<
/D [ 19 0 R /XYZ 155.505 420.638 null ]/S /GoTo
>>
endobj
114 0 obj
<<
/D [ 17 0 R /XYZ 83.338 757.696 null ]/S /GoTo
>>
endobj
115 0 obj
<<
/D [ 17 0 R /XYZ 261.956 605.28 null ]/S /GoTo
>>
endobj
116 0 obj
<<
/D [ 26 0 R /XYZ 84.81 540.908 null ]/S /GoTo
>>
endobj
117 0 obj
<<
/D [ 17 0 R /XYZ 154.845 507.728 null ]/S /GoTo
>>
endobj
118 0 obj
<<
/D [ 23 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
119 0 obj
<<
/D [ 24 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
120 0 obj
<<
/D [ 25 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
121 0 obj
<<
/D [ 26 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
122 0 obj
<<
/D [ 25 0 R /XYZ 83.338 254.837 null ]/S /GoTo
>>
endobj
123 0 obj
<<
/D [ 26 0 R /XYZ 89.792 697.322 null ]/S /GoTo
>>
endobj
124 0 obj
<<
/D [ 26 0 R /XYZ 89.792 728.605 null ]/S /GoTo
>>
endobj
125 0 obj
<<
/D [ 17 0 R /XYZ 251.792 168.823 null ]/S /GoTo
>>
endobj
126 0 obj
<<
/D [ 26 0 R /XYZ 84.81 509.625 null ]/S /GoTo
>>
endobj
127 0 obj
<<
/D [ 24 0 R /XYZ 83.338 616.695 null ]/S /GoTo
>>
endobj
128 0 obj
<<
/D [ 23 0 R /XYZ 83.338 733.545 null ]/S /GoTo
>>
endobj
129 0 obj
<<
/D [ 20 0 R /XYZ 212.769 379.863 null ]/S /GoTo
>>
endobj
130 0 obj
<<
/D [ 14 0 R /XYZ 236.65 328.066 null ]/S /GoTo
>>
endobj
131 0 obj
<<
/D [ 14 0 R /XYZ 255.934 396.821 null ]/S /GoTo
>>
endobj
132 0 obj
<<
/D [ 14 0 R /XYZ 212.651 448.084 null ]/S /GoTo
>>
endobj
133 0 obj
<<
/D [ 14 0 R /XYZ 199.838 514.251 null ]/S /GoTo
>>
endobj
134 0 obj
<<
/D [ 14 0 R /XYZ 220.095 625.13 null ]/S /GoTo
>>
endobj
135 0 obj
<<
/D [ 14 0 R /XYZ 251.44 721.105 null ]/S /GoTo
>>
endobj
136 0 obj
<<
/D [ 13 0 R /XYZ 231.719 175.643 null ]/S /GoTo
>>
endobj
137 0 obj
<<
/D [ 18 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
138 0 obj
<<
/D [ 17 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
139 0 obj
<<
/D [ 20 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
140 0 obj
<<
/D [ 19 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
141 0 obj
<<
/D [ 14 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
142 0 obj
<<
/D [ 13 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
143 0 obj
<<
/D [ 14 0 R /XYZ 86.543 210.636 null ]/S /GoTo
>>
endobj
144 0 obj
<<
/D [ 14 0 R /XYZ 210.117 276.803 null ]/S /GoTo
>>
endobj
145 0 obj
<<
/D [ 23 0 R /XYZ 165.119 273.628 null ]/S /GoTo
>>
endobj
146 0 obj
<<
/D [ 23 0 R /XYZ 201.954 372.493 null ]/S /GoTo
>>
endobj
147 0 obj
<<
/D [ 24 0 R /XYZ 156.015 732.856 null ]/S /GoTo
>>
endobj
148 0 obj
<<
/D [ 23 0 R /XYZ 185.276 169.633 null ]/S /GoTo
>>
endobj
149 0 obj
<<
/D [ 26 0 R /XYZ 84.81 316.946 null ]/S /GoTo
>>
endobj
150 0 obj
<<
/D [ 23 0 R /XYZ 245.311 485.189 null ]/S /GoTo
>>
endobj
151 0 obj
<<
/D [ 23 0 R /XYZ 226.857 536.972 null ]/S /GoTo
>>
endobj
152 0 obj
<<
/D [ 24 0 R /XYZ 133.453 490.216 null ]/S /GoTo
>>
endobj
153 0 obj
<<
/D [ 24 0 R /XYZ 247.422 541.134 null ]/S /GoTo
>>
endobj
154 0 obj
<<
/D [ 26 0 R /XYZ 84.81 160.532 null ]/S /GoTo
>>
endobj
155 0 obj
<<
/D [ 18 0 R /XYZ 86.016 539.212 null ]/S /GoTo
>>
endobj
156 0 obj
<<
/D [ 18 0 R /XYZ 159.239 467.302 null ]/S /GoTo
>>
endobj
157 0 obj
<<
/D [ 5 0 R /XYZ 99.926 144.87 null ]/S /GoTo
>>
endobj
158 0 obj
<<
/D [ 11 0 R /XYZ 99.926 144.87 null ]/S /GoTo
>>
endobj
159 0 obj
<<
/D [ 8 0 R /XYZ 99.926 156.925 null ]/S /GoTo
>>
endobj
160 0 obj
<<
/D [ 17 0 R /XYZ 99.926 144.87 null ]/S /GoTo
>>
endobj
161 0 obj
<<
/D [ 16 0 R /XYZ 99.926 144.87 null ]/S /GoTo
>>
endobj
162 0 obj
<<
/D [ 18 0 R /XYZ 99.926 144.87 null ]/S /GoTo
>>
endobj
163 0 obj
<<
/D [ 6 0 R /XYZ 83.338 327.138 null ]/S /GoTo
>>
endobj
164 0 obj
<<
/D [ 10 0 R /XYZ 83.338 264.731 null ]/S /GoTo
>>
endobj
165 0 obj
<<
/D [ 4 0 R /XYZ 83.338 422.873 null ]/S /GoTo
>>
endobj
166 0 obj
<<
/D [ 22 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
167 0 obj
<<
/D [ 22 0 R /XYZ 240.888 546.915 null ]/S /GoTo
>>
endobj
168 0 obj
<<
/D [ 21 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
169 0 obj
<<
/D [ 26 0 R /XYZ 89.792 759.888 null ]/S /GoTo
>>
endobj
170 0 obj
<<
/D [ 26 0 R /XYZ 84.81 572.19 null ]/S /GoTo
>>
endobj
171 0 obj
<<
/D [ 13 0 R /XYZ 83.338 298.409 null ]/S /GoTo
>>
endobj
172 0 obj
<<
/D [ 11 0 R /XYZ 202.912 661.359 null ]/S /GoTo
>>
endobj
173 0 obj
<<
/D [ 11 0 R /XYZ 233.819 394.371 null ]/S /GoTo
>>
endobj
174 0 obj
<<
/D [ 11 0 R /XYZ 192.721 565.125 null ]/S /GoTo
>>
endobj
175 0 obj
<<
/D [ 26 0 R /XYZ 89.792 634.756 null ]/S /GoTo
>>
endobj
176 0 obj
<<
/D [ 11 0 R /XYZ 173.471 342.849 null ]/S /GoTo
>>
endobj
177 0 obj
<<
/D [ 10 0 R /XYZ 121.751 486.115 null ]/S /GoTo
>>
endobj
178 0 obj
<<
/D [ 26 0 R /XYZ 89.792 666.039 null ]/S /GoTo
>>
endobj
179 0 obj
<<
/D [ 10 0 R /XYZ 166.105 731.395 null ]/S /GoTo
>>
endobj
180 0 obj
<<
/D [ 10 0 R /XYZ 226.114 668.3 null ]/S /GoTo
>>
endobj
181 0 obj
<<
/D [ 9 0 R /XYZ 223.205 358.811 null ]/S /GoTo
>>
endobj
182 0 obj
<<
/D [ 9 0 R /XYZ 197.399 191.621 null ]/S /GoTo
>>
endobj
183 0 obj
<<
/D [ 9 0 R /XYZ 218.041 571.773 null ]/S /GoTo
>>
endobj
184 0 obj
<<
/D [ 9 0 R /XYZ 204.232 504.573 null ]/S /GoTo
>>
endobj
185 0 obj
<<
/D [ 9 0 R /XYZ 227.914 731.547 null ]/S /GoTo
>>
endobj
186 0 obj
<<
/D [ 9 0 R /XYZ 95.592 668.782 null ]/S /GoTo
>>
endobj
187 0 obj
<<
/D [ 7 0 R /XYZ 83.338 397.559 null ]/S /GoTo
>>
endobj
188 0 obj
<<
/D [ 8 0 R /XYZ 181.07 181.851 null ]/S /GoTo
>>
endobj
189 0 obj
<<
/D [ 7 0 R /XYZ 83.338 250.95 null ]/S /GoTo
>>
endobj
190 0 obj
<<
/D [ 7 0 R /XYZ 287.063 179.464 null ]/S /GoTo
>>
endobj
191 0 obj
<<
/D [ 8 0 R /XYZ 272.762 615.92 null ]/S /GoTo
>>
endobj
192 0 obj
<<
/D [ 8 0 R /XYZ 270.529 548.352 null ]/S /GoTo
>>
endobj
193 0 obj
<<
/D [ 8 0 R /XYZ 231.319 480.785 null ]/S /GoTo
>>
endobj
194 0 obj
<<
/D [ 6 0 R /XYZ 244.657 185.666 null ]/S /GoTo
>>
endobj
195 0 obj
<<
/D [ 6 0 R /XYZ 246.905 135.665 null ]/S /GoTo
>>
endobj
196 0 obj
<<
/D [ 7 0 R /XYZ 170.94 296.871 null ]/S /GoTo
>>
endobj
197 0 obj
<<
/D [ 16 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
198 0 obj
<<
/D [ 15 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
199 0 obj
<<
/D [ 5 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
200 0 obj
<<
/D [ 19 0 R /XYZ 193.442 637.199 null ]/S /GoTo
>>
endobj
201 0 obj
<<
/D [ 19 0 R /XYZ 203.911 525.687 null ]/S /GoTo
>>
endobj
202 0 obj
<<
/D [ 25 0 R /XYZ 89.792 196.836 null ]/S /GoTo
>>
endobj
203 0 obj
<<
/D [ 25 0 R /XYZ 89.792 228.298 null ]/S /GoTo
>>
endobj
204 0 obj
<<
/D [ 26 0 R /XYZ 84.81 460.21 null ]/S /GoTo
>>
endobj
205 0 obj
<<
/D [ 18 0 R /XYZ 226.734 662.008 null ]/S /GoTo
>>
endobj
206 0 obj
<<
/D [ 18 0 R /XYZ 153.886 183.673 null ]/S /GoTo
>>
endobj
207 0 obj
<<
/D [ 19 0 R /XYZ 87.054 740.64 null ]/S /GoTo
>>
endobj
208 0 obj
<<
/D [ 18 0 R /XYZ 247.532 312.507 null ]/S /GoTo
>>
endobj
209 0 obj
<<
/D [ 18 0 R /XYZ 219.121 242.775 null ]/S /GoTo
>>
endobj
210 0 obj
<<
/D [ 12 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
211 0 obj
<<
/D [ 11 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
212 0 obj
<<
/D [ 4 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
213 0 obj
<<
/D [ 23 0 R /XYZ 158.364 671.722 null ]/S /GoTo
>>
endobj
214 0 obj
<<
/D [ 6 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
215 0 obj
<<
/D [ 10 0 R /XYZ 150.693 340.295 null ]/S /GoTo
>>
endobj
216 0 obj
<<
/D [ 8 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
217 0 obj
<<
/D [ 7 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
218 0 obj
<<
/D [ 10 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
219 0 obj
<<
/D [ 9 0 R /XYZ 10.338 872.793 null ]/S /GoTo
>>
endobj
220 0 obj
<<
/D [ 0 /Fit ]
/S /GoTo
>>
endobj
221 0 obj
<<
/Parent 222 0 R
/Title (1)
/A 220 0 R
/Next 224 0 R
>>
endobj
222 0 obj
<<
/Count 8
/First 221 0 R
/Last 240 0 R
>>
endobj
223 0 obj
<<
/D [ 1 /XYZ 83.338 422.873 0 ]
/S /GoTo
>>
endobj
224 0 obj
<<
/Parent 222 0 R
/Next 226 0 R
/Title (Introduction)
/A 223 0 R
/Prev 221 0 R
>>
endobj
225 0 obj
<<
/D [ 3 /XYZ 83.338 327.138 0 ]
/S /GoTo
>>
endobj
226 0 obj
<<
/Parent 222 0 R
/Next 228 0 R
/Title (Soldering freedom and horizon shells)
/A 225 0 R
/Prev 224 0 R
>>
endobj
227 0 obj
<<
/D [ 7 /XYZ 83.338 264.731 0 ]
/S /GoTo
>>
endobj
228 0 obj
<<
/Parent 222 0 R
/Next 230 0 R
/Title (Soldering group\054 Carrollian manifolds and BMS transformations)
/A 227 0 R
/Prev 226 0 R
>>
endobj
229 0 obj
<<
/D [ 9 /XYZ 83.338 757.696 0 ]
/S /GoTo
>>
endobj
230 0 obj
<<
/Parent 222 0 R
/Next 232 0 R
/Title (Off\055horizon shell extension of the soldering transformations)
/A 229 0 R
/Prev 228 0 R
>>
endobj
231 0 obj
<<
/D [ 10 /XYZ 83.338 298.409 0 ]
/S /GoTo
>>
endobj
232 0 obj
<<
/Parent 222 0 R
/Next 234 0 R
/Title (From soldering to the physical properties of the shell)
/A 231 0 R
/Prev 230 0 R
>>
endobj
233 0 obj
<<
/D [ 13 /XYZ 83.338 247.729 0 ]
/S /GoTo
>>
endobj
234 0 obj
<<
/Parent 222 0 R
/Last 238 0 R
/Next 240 0 R
/Title (Schwarzschild horizon shell in Kruskal coordinates)
/A 233 0 R
/Prev 232 0 R
/Count 2
/First 236 0 R
>>
endobj
235 0 obj
<<
/D [ 14 /XYZ 83.338 757.696 0 ]
/S /GoTo
>>
endobj
236 0 obj
<<
/Parent 234 0 R
/Title (General construction)
/A 235 0 R
/Next 238 0 R
>>
endobj
237 0 obj
<<
/D [ 17 /XYZ 83.338 757.696 0 ]
/S /GoTo
>>
endobj
238 0 obj
<<
/Parent 234 0 R
/Title (Special cases)
/A 237 0 R
/Prev 236 0 R
>>
endobj
239 0 obj
<<
/D [ 20 /XYZ 83.338 757.696 0 ]
/S /GoTo
>>
endobj
240 0 obj
<<
/Parent 222 0 R
/Last 244 0 R
/Title (Horizon shell in Eddington\055Finkelstein coordinates)
/A 239 0 R
/Prev 234 0 R
/Count 2
/First 242 0 R
>>
endobj
241 0 obj
<<
/D [ 20 /XYZ 83.338 733.545 0 ]
/S /GoTo
>>
endobj
242 0 obj
<<
/Parent 240 0 R
/Title (General construction)
/A 241 0 R
/Next 244 0 R
>>
endobj
243 0 obj
<<
/D [ 21 /XYZ 83.338 616.695 0 ]
/S /GoTo
>>
endobj
244 0 obj
<<
/Parent 240 0 R
/Title (Special cases)
/A 243 0 R
/Prev 242 0 R
>>
endobj
245 0 obj
<<
/Type /Catalog
/Pages 1 0 R
/Names 28 0 R
/Outlines 222 0 R
>>
endobj
246 0 obj
<<
/Length 8258
>>
stream
q
1 0 0 1 0 0 cm
BT
/F1 12 Tf
14.4 TL
ET
BT
/F2 9 Tf
10.8 TL
ET
q
0 1 -1 0 15 56 cm
BT
1 0 0 1 0 0 Tm
1 0 0 1 0 0 Tm
/F2 9 Tf
10.8 TL
0.2667 0.2667 0.2667 rg
(source\072 ) Tj
0.89 0 0.239 rg
(https\072\057\057doi\056org\05710\0567892\057boris\05680061) Tj
0.2667 0.2667 0.2667 rg
( \174 downloaded\072 28\0563\0562024) Tj
ET
Q
Q
q
q
0.99987 0 0 0.99987 0.17687 0 cm
/X1 Do
Q
q
1 0 0 1 83.338 731.66602 cm
/Im1 Do
Q
q
1 0 0 1 168.338 742.32599 cm
0 G
0.398 w
0 0 m
343.599 0 l
S
1 0 0 1 -168.338 -742.32599 cm
0 g
BT
0 Tr
/F26 9.9626 Tf
1 0 0 1 329.44601 747.34302 Tm
[ (Published) -378 (f) 22 (or) -377 (SISSA) -378 (by) ] TJ
ET
q
11.29156 0 0 12.95209 454.10001 743.45801 cm
/Im2 Do
Q
BT
1 0 0 1 467.22699 747.34302 Tm
[ (Springer) ] TJ
ET
BT
/F26 8.9664 Tf
1 0 0 1 392.44299 728.71301 Tm
[ (Received) ] TJ
ET
BT
/F50 8.9664 Tf
1 0 0 1 433.728 728.71301 Tm
[ (\072) ] TJ
ET
BT
/F52 8.9664 Tf
1 0 0 1 440.384 728.71301 Tm
[ (January) -367 (12\054) -368 (2016) ] TJ
ET
BT
/F26 8.9664 Tf
1 0 0 1 387.24899 716.65802 Tm
[ (A) 29 (ccepted) ] TJ
ET
BT
/F50 8.9664 Tf
1 0 0 1 430.78799 716.65802 Tm
[ (\072) ] TJ
ET
BT
/F52 8.9664 Tf
1 0 0 1 437.44299 716.65802 Tm
[ (F) 79 (ebruary) -368 (19\054) -367 (2016) ] TJ
ET
BT
/F26 8.9664 Tf
1 0 0 1 400.96701 704.60303 Tm
[ (Published) ] TJ
ET
BT
/F50 8.9664 Tf
1 0 0 1 445.83301 704.60303 Tm
[ (\072) ] TJ
ET
BT
/F52 8.9664 Tf
1 0 0 1 452.48901 704.60303 Tm
[ (Mar) 53 (ch) -368 (7\054) -367 (2016) ] TJ
ET
BT
/F55 17.2154 Tf
1 0 0 1 83.338 633.15302 Tm
[ (Ho) 31 (rizon) -367 (shells) -367 (and) -366 (BMS\055lik) 30 (e) -366 (soldering) -367 (transfo) 31 (rmations) ] TJ
ET
1 0 0 1 83.338 602.48102 cm
0 0 428.599 1.494 re
f
1 0 0 1 -83.338 -602.48102 cm
BT
/F55 10.9091 Tf
1 0 0 1 83.338 567.15601 Tm
[ (Matthias) -367 (Blau) ] TJ
ET
BT
/F30 7.9701 Tf
1 0 0 1 154.423 571.11499 Tm
[ (a) ] TJ
ET
BT
/F55 10.9091 Tf
1 0 0 1 163.41901 567.15601 Tm
[ (and) -367 (Ma) 31 (rtin) -367 (O\047Loughlin) ] TJ
ET
BT
/F30 7.9701 Tf
1 0 0 1 277.10199 571.11499 Tm
[ (b) ] TJ
ET
BT
/F10 6.9738 Tf
1 0 0 1 86.456 552.64001 Tm
[ (a) ] TJ
ET
BT
/F59 9.9626 Tf
1 0 0 1 91.275 549.02399 Tm
[ (A) 26 (lb) 51 (ert) -358 (Einstein) -358 (Center) -358 (for) -357 (F) 76 (undamental) -357 (Physics\054) ] TJ
ET
BT
1 0 0 1 91.275 535.87402 Tm
[ (Institute) -358 (for) -357 (The) 51 (or) 51 (etic) 51 (al) -358 (Physics\054) -357 (Un) -1 (i) 1 (versity) -358 (of) -358 (Bern\054) ] TJ
ET
BT
1 0 0 1 91.275 522.72302 Tm
[ (Sid) -51 (lerstr) 51 (asse) -358 (5\054) -357 (3012) -358 (Bern\054) -358 (Switzerland) ] TJ
ET
BT
/F10 6.9738 Tf
1 0 0 1 87.274 511.69299 Tm
[ (b) ] TJ
ET
BT
/F59 9.9626 Tf
1 0 0 1 91.275 508.078 Tm
[ (University) -358 (of) -357 (Nova) -358 (Goric) 51 (a\054) ] TJ
ET
BT
1 0 0 1 91.275 494.927 Tm
[ (Vip) 51 (avska) -358 (13\054) -357 (5000) -358 (Nova) -358 (Goric) 51 (a\054) -358 (Slovenia) ] TJ
ET
BT
/F59 10.9091 Tf
1 0 0 1 91.275 474.19699 Tm
[ (E\055mail\072) ] TJ
ET
0 0 1 rg
BT
/F68 10.9091 Tf
1 0 0 1 132.037 474.19699 Tm
[ (blau\100itp\056unibe\056ch) ] TJ
ET
0 g
BT
/F15 10.9091 Tf
1 0 0 1 229.39999 474.19699 Tm
[ (\054) ] TJ
ET
0 0 1 rg
BT
/F68 10.9091 Tf
1 0 0 1 236.06599 474.19699 Tm
[ (martin\056oloughlin\100ung\056si) ] TJ
ET
0 g
BT
/F26 10.9091 Tf
1 0 0 1 83.338 443.20099 Tm
[ (Abstra) 22 (ct\072) ] TJ
ET
BT
/F15 10.9091 Tf
1 0 0 1 144.58299 443.20099 Tm
[ (W) 83 (e) -476 (revisit) -476 (the) -477 (theory) -476 (of) -476 (n) 28 (ull) -477 (shells) -476 (in) -476 (general) -477 (relativit) 28 (y) 83 (\054) -512 (with) -476 (a) -476 (particular) ] TJ
ET
BT
1 0 0 1 83.338 428.297 Tm
[ (emphasis) -232 (on) -232 (n) 28 (ull) -231 (shells) -232 (placed) -232 (at) -232 (hor) 1 (iz) -1 (on) 1 (s) -232 (of) -232 (blac) 28 (k) -232 (holes\056) -410 (W) 83 (e) -232 (study) -232 (in) -231 (detail) -232 (the) -232 (considerable) ] TJ
ET
BT
1 0 0 1 83.338 413.392 Tm
[ (freedom) -473 (that) -473 (is) -473 (a) 27 (v) 56 (ailable) -473 (in) -473 (the) -473 (c) -1 (ase) -473 (that) -473 (one) -473 (solders) -473 (t) 28 (w) 27 (o) -473 (metrics) -473 (together) -473 (across) -474 (n) 28 (ull) ] TJ
ET
BT
1 0 0 1 83.338 398.48801 Tm
[ (h) 28 (yp) -28 (ersurfaces) -408 (\050s) -1 (u) 1 (c) 27 (h) -408 (as) -409 (Killing) -408 (horizons\051) -409 (for) -408 (whic) 28 (h) -409 (the) -408 (induced) -409 (metric) -408 (is) -409 (in) 28 (v) 56 (arian) 28 (t) -409 (under) ] TJ
ET
BT
1 0 0 1 83.338 383.58401 Tm
[ (translations) -341 (along) -342 (the) -341 (n) 28 (ull) -342 (generators\056) -468 (In) -342 (this) -341 (case) -342 (the) -341 (group) -341 (of) -342 (soldering) -341 (transformations) ] TJ
ET
BT
1 0 0 1 83.338 368.67999 Tm
[ (turns) -352 (out) -353 (to) -353 (b) -27 (e) -353 <696e0c6e697465> -352 (dimensional\054) -358 (an) 1 (d) -353 (these) -353 (solderings) -352 (create) -353 (non\055trivial) -352 (horizon) -353 (shells) ] TJ
ET
BT
1 0 0 1 83.338 353.776 Tm
[ (con) 28 (taining) -400 (b) -28 (oth) -400 (massless) -400 (matter) -400 (and) -400 (impulsiv) 28 (e) -400 (gra) 28 (vitational) -400 (w) 28 (a) 28 (v) 28 (e) -400 (com) -1 (p) -27 (onen) 28 (ts\056) -645 (W) 84 (e) -400 (also) ] TJ
ET
BT
1 0 0 1 83.338 338.871 Tm
[ (rephrase) -477 (th) 1 (is) -477 (result) -477 (in) -476 (the) -477 (langu) 1 (age) -477 (of) -477 (Carrol) 1 (lian) -477 (symmetry) -477 (grou) 1 (ps\056) -875 (T) 84 (o) -477 (illustrate) -476 (this) ] TJ
ET
BT
1 0 0 1 83.338 323.96701 Tm
[ (phenomenon) -311 (w) 27 (e) -311 (discuss) -312 (in) -311 (detail) -311 (the) -312 (example) -311 (of) -312 (shells) -311 (on) -312 (the) -311 (horizon) -312 (of) -311 (the) -311 (Sc) 27 (h) 28 (w) 28 (arzsc) 28 (hild) ] TJ
ET
BT
1 0 0 1 83.338 309.06299 Tm
[ (blac) 28 (k) -441 (hole) -442 (\050with) -441 (equal) -441 (in) 28 (terior) -441 (and) -441 (exterior) -442 (mass\051\054) -468 (unco) 28 (v) 28 (ering) -441 (a) -442 (ric) 28 (h) -441 (classical) -441 (structure) ] TJ
ET
BT
1 0 0 1 83.338 294.159 Tm
[ (at) -449 (the) -449 (horizon) -449 (and) -448 (deriving) -449 (an) -449 (explicit) -449 (expression) -449 (for) -448 (the) -449 (general) -449 (horizon) -449 (shell) -449 (energy\055) ] TJ
ET
BT
1 0 0 1 83.338 279.255 Tm
[ (momen) 28 (tum) -389 (tensor\056) -612 (In) -389 (the) -389 (sp) -28 (ecial) -389 (case) -389 (of) -389 (BMS\055lik) 28 (e) -389 (soldering) -389 (sup) -28 (ertranslations) -389 (w) 28 (e) -389 <0c6e64> -389 (a) ] TJ
ET
BT
1 0 0 1 83.338 264.35001 Tm
[ (conserv) 28 (ed) -338 (shell\055energy) -338 (that) -338 (is) -339 (striki) 1 (ngly) -338 (s) -1 (i) 1 (m) -1 (il) 1 (ar) -339 (to) -338 (the) -338 (standard) -338 (expression) -338 (for) -338 (asymptotic) ] TJ
ET
BT
1 0 0 1 83.338 249.446 Tm
[ (BMS) -287 (sup) -28 (ertranslation) -287 (c) 27 (h) 1 (arges) -1 (\054) -296 (suggesting) -287 (a) -288 (direct) -287 (relation) -287 (b) -28 (et) 28 (w) 27 (een) -287 (the) -287 (ph) 28 (ysic) -1 (al) -287 (prop) -28 (erti) 1 (e) -1 (s) ] TJ
ET
BT
1 0 0 1 83.338 234.54201 Tm
[ (of) -262 (these) -262 (horizon) -262 (shells) -262 (and) -262 (the) -262 (recen) 27 (tly) -262 (pr) 1 (op) -28 (osed) -262 (BMS) -262 (sup) -28 (ertranslation) -262 (hair) -262 (of) -262 (a) -262 (blac) 28 (k) -262 (hole\056) ] TJ
ET
BT
/F26 10.9091 Tf
1 0 0 1 83.338 203.698 Tm
[ (Keyw) 22 (ords\072) ] TJ
ET
BT
/F15 10.9091 Tf
1 0 0 1 147.826 203.698 Tm
[ (Blac) 28 (k) -334 (Holes\054) -333 (Classical) -333 (Theories) -334 (of) -333 (Gra) 28 (vit) 28 (y) 83 (\054) -333 (Space\055Time) -334 (Symmetries) ] TJ
ET
BT
/F26 10.9091 Tf
1 0 0 1 83.338 172.853 Tm
[ (ArXiv) -378 (ePrint\072) ] TJ
ET
0 0 1 rg
BT
/F15 10.9091 Tf
1 0 0 1 167.289 172.853 Tm
[ (1512\05602858) ] TJ
ET
0 g
BT
/F26 8.9664 Tf
1 0 0 1 83.338 68.335 Tm
[ (Open) -378 (A) 29 (ccess) ] TJ
ET
BT
/F50 8.9664 Tf
1 0 0 1 140.645 68.335 Tm
[ (\054) ] TJ
ET
BT
1 0 0 1 148.83701 68.606 Tm
[ (c) ] TJ
ET
BT
/F71 8.9664 Tf
1 0 0 1 146.27699 68.335 Tm
[ <0d> ] TJ
ET
BT
/F50 8.9664 Tf
1 0 0 1 158.564 68.335 Tm
[ (The) -343 (Au) 1 (thors\056) ] TJ
ET
BT
1 0 0 1 83.338 56.281 Tm
[ (Article) -343 (fund) 1 (ed) -343 (b) 29 (y) -343 (SCO) 29 (AP) ] TJ
ET
BT
/F28 5.9776 Tf
1 0 0 1 188.955 60.09 Tm
[ (3) ] TJ
ET
BT
/F50 8.9664 Tf
1 0 0 1 193.106 56.281 Tm
[ (\056) ] TJ
ET
BT
/F15 9.9626 Tf
1 0 0 1 379.517 61.822 Tm
[ (doi\072) ] TJ
ET
0 0 1 rg
BT
1 0 0 1 395.56873 61.822 Tm
[ (10\0561007\057JHEP03\0502016\051029) ] TJ
ET
Q
Q
endstream
endobj
247 0 obj
<<
/Filter /DCTDecode
/BitsPerComponent 8
/Height 39
/Length 2648
/ColorSpace /DeviceGray
/Width 34
/Type /XObject
/Subtype /Image
>>
stream
JFIF ,, Exif MM * > F( i N , , 0210 0100 http://ns.adobe.com/xap/1.0/
image/jpeg
Illustrator
2008-06-07T16:59:44+02:00
2008-06-07T14:59:45Z
2008-06-07T16:59:44+02:00
uuid:717FE8DC364511DD9D65CCEE72584A98
uuid:976056B52EB011DDB773910450061A21
uuid:3498D0872EAE11DDB773910450061A21
C ' "
+ V
Y ? ݅pU%q+ni^RY6h FjA\zD.ي9"`EvEVc;WzS=˾zǸ,?+n<7rYL^#&?`Ȑrqοe=Lޝ5}H ,7ޓ<7bZAGYz";qFn%#97i]y)bM>cWsH:λW-Pt9 >H̤F&X1V%Gt`ZI'7bG힏uL?鮍hJf`,ἂ8~~5Yj͋jX:NQ8{G'C,khOնdM%,-
Jyfe#}f5Eou3:[PmPiY T_܅7e-Jȱ0鯺qe.4b#)K +$RA4}(J?+'1/Z@i*,>`w_t8I$OřֻV65 ;$Q$?͵.Fj%3y22,HGc.3WeN9e+c8&oKNe!U|F
i&J}VeX\qb.6"5G j Vh0)`C7`=DlѢ z'b8oWI:w>5!/3H$0`僆Óp"d\1Ùj.=OV]7%L CCa$.|byYhf<3, 0s5uR7x1*f93j+&gXZ" tz(6QUQB
~â%
x2N?zg.Sb}w?<_iiz"Zɍġ7 (؝oUFʁKXå+ӭ"Bo.(V-7k9 Եj}#lE1%b=*]g;*aM,꾚뾪!ߓ*q ;`_/8_f։\0cD1Cj
o 7v!L>ᢞ+F{DoTS+%)F
endstream
endobj
248 0 obj
<<
/Filter /FlateDecode
/Resources 249 0 R
/Length 49
/PTEX.PageNumber 1
/Type /XObject
/FormType 1
/PTEX.FileName (\057usr\057local\057texlive\057texmf\055local\057tex\057latex\057local\057medialab\057JHEPlogo\056pdf)
/PTEX.InfoDict 251 0 R
/BBox [ 0 0 85 34 ]
/Subtype /Form
>>
stream
xS3T0 B(U` 3 #S~K>W `^
endstream
endobj
249 0 obj
<<
/XObject <<
/R7 250 0 R
>>
/ProcSet [ /PDF /ImageC ]
>>
endobj
250 0 obj
<<
/Filter /FlateDecode
/Name /R7
/ColorSpace /DeviceRGB
/DecodeParms <<
/Colors 3
/Columns 189
/Predictor 15
>>
/Length 3922
/Type /XObject
/BitsPerComponent 8
/Height 76
/Width 189
/Subtype /Image
>>
stream
x]-xJ:p%Yֵ2ϥn62uk]#u[$"#qMe a=N?VpERqå/Oŕ_<(Rt]Wd_Rޔq1M[] H,>k1oaoxZs+|)+#^Nֵݱ HUɡ$$Y _'JH@ Bݐwݍ=>>w2EQc_TbGN`%0J(,Ux QVtÄ́QY;7