Geroch group for Einstein spaces and holographic integrability

Petkou, Anastasios C.; Petropoulos, P. Marios; Siampos, Konstadinos (2016). Geroch group for Einstein spaces and holographic integrability. PoS - proceedings of science, PLANCK2015, p. 104. Scuola Internazionale Superiore di Studi Avanzati SISSA

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We review how Geroch’s reduction method is extended from Ricci-flat to Einstein spacetimes. The Ehlers–Geroch SL(2,R) group is still present in the three-dimensional sigma-model that captures the dynamics, but only a subgroup of it is solution-generating. Holography provides an alternative three-dimensional perspective to integrability properties of Einstein’s equations in asymptotically anti-de Sitter spacetimes. These properties emerge as conditions on the boundary data (metric and energy–momentum tensor) ensuring that the hydrodynamic derivative expansion be resummed into an exact four-dimensional Einstein geometry. The conditions at hand are in- variant under a set of transformations dubbed holographic U-duality group. The latter fills the gap left by the Ehlers–Geroch group in Einstein spaces, and allows for solution-generating maps mixing e.g. the mass and the nut charge.

Item Type:

Conference or Workshop Item (Paper)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Siampos, Konstadinos

Subjects:

500 Science > 530 Physics

ISSN:

1824-8039

Publisher:

Scuola Internazionale Superiore di Studi Avanzati SISSA

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

06 Sep 2016 11:20

Last Modified:

06 Sep 2016 11:20

BORIS DOI:

10.7892/boris.86315

URI:

https://boris.unibe.ch/id/eprint/86315

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