Antoniadis, Ignatios; Cotsakis, Spiros (2015). Topology of the ambient boundary and the convergence of causal curves. Modern Physics Letters A, 30(30), p. 1550161. World Scientific Publishing 10.1142/S0217732315501618
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We discuss the topological nature of the boundary spacetime, the conformal infinity of the ambient cosmological metric. Due to the existence of a homothetic group, the bounding spacetime must be equipped not with the usual Euclidean metric topology but with the Zeeman fine topology. This then places severe constraints to the convergence of a sequence of causal curves and the extraction of a limit curve, and also to our ability to formulate conditions for singularity formation.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) 08 Faculty of Science > Institute of Theoretical Physics |
UniBE Contributor: |
Antoniadis, Ignatios |
Subjects: |
500 Science > 530 Physics |
ISSN: |
0217-7323 |
Publisher: |
World Scientific Publishing |
Language: |
English |
Submitter: |
Esther Fiechter |
Date Deposited: |
27 Aug 2015 13:28 |
Last Modified: |
05 Dec 2022 14:49 |
Publisher DOI: |
10.1142/S0217732315501618 |
ArXiv ID: |
1505.04737v2 |
BORIS DOI: |
10.7892/boris.71321 |
URI: |
https://boris.unibe.ch/id/eprint/71321 |