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BH5 - Geometric approaches to the thermodynamics of black holes

Speaker

Araujo, Adriana Victoria

Coauthors

Prof. Dr. José Geraldo Pereira

Talk Title

Entropy in locally-de Sitter spacetimes

Abstract

If general relativity is constructed on a de Sitter spacetime, instead of a locally-Minkowski Riemannian geometry, spacetime turns out to be endowed with a Cartan structure, giving rise to a geometry that reduces locally to de Sitter. In such geometry the de finition of dif eomorphism changes, which in turn produces concomitant changes in the defi nition of entropy usually defi ned as the Noether charge associated to di feomorphism. This new entropy is explicitly shown for the Schwarzschild-de Sitter solution, in which both horizons show up as a unique entangled system. Such entanglement, together with energy conservation, create a constraint between the black hole activity and the evolution of the de Sitter radius, providing in this way a new scenario for the study of cosmology.

Talk view

BH5-711AR1905IA.pdf

 

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