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Title: Entropy and mass bounds of Kerr-de Sitter spacetimes

Abstract

We consider Kerr-de Sitter spacetimes and evaluate their mass, angular momentum, and entropy according to the boundary counterterm prescription. We provide a physical interpretation for angular velocity and angular momentum at future/past infinity. We show that the entropy of the four-dimensional Kerr-de Sitter spacetimes is less than of pure de Sitter (dS) spacetime in agreement with the entropic N bound. Moreover, we show that maximal mass conjecture which states 'any asymptotically de Sitter spacetime with mass greater than de Sitter has a cosmological singularity' is respected by asymptotically de Sitter spacetimes with rotation. We furthermore consider the possibility of strengthening the conjecture to state that 'any asymptotically dS spacetime will have mass greater than dS if and only if it has a cosmological singularity' and find that Kerr-de Sitter spacetimes do not respect this stronger statement. We investigate the behavior of the c function for the Kerr-de Sitter spacetimes and show that it is no longer isotropic. However an average of the c function over the angular variables yields a renormalization group flow in agreement with the expansion of spacetime at future infinity.

Authors:
;  [1]
  1. Department of Physics, University of Waterloo, Waterloo, Ontario, N2L 3G1 (Canada)
Publication Date:
OSTI Identifier:
20713557
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 72; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.72.064024; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANGULAR MOMENTUM; ANGULAR VELOCITY; COSMOLOGY; DE SITTER GROUP; ENTROPY; GRAVITATION; KERR METRIC; MASS; RENORMALIZATION; ROTATION; SINGULARITY; SPACE-TIME

Citation Formats

Ghezelbash, A M, and Mann, R B. Entropy and mass bounds of Kerr-de Sitter spacetimes. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.064024.
Ghezelbash, A M, & Mann, R B. Entropy and mass bounds of Kerr-de Sitter spacetimes. United States. doi:10.1103/PhysRevD.72.064024.
Ghezelbash, A M, and Mann, R B. Thu . "Entropy and mass bounds of Kerr-de Sitter spacetimes". United States. doi:10.1103/PhysRevD.72.064024.
@article{osti_20713557,
title = {Entropy and mass bounds of Kerr-de Sitter spacetimes},
author = {Ghezelbash, A M and Mann, R B},
abstractNote = {We consider Kerr-de Sitter spacetimes and evaluate their mass, angular momentum, and entropy according to the boundary counterterm prescription. We provide a physical interpretation for angular velocity and angular momentum at future/past infinity. We show that the entropy of the four-dimensional Kerr-de Sitter spacetimes is less than of pure de Sitter (dS) spacetime in agreement with the entropic N bound. Moreover, we show that maximal mass conjecture which states 'any asymptotically de Sitter spacetime with mass greater than de Sitter has a cosmological singularity' is respected by asymptotically de Sitter spacetimes with rotation. We furthermore consider the possibility of strengthening the conjecture to state that 'any asymptotically dS spacetime will have mass greater than dS if and only if it has a cosmological singularity' and find that Kerr-de Sitter spacetimes do not respect this stronger statement. We investigate the behavior of the c function for the Kerr-de Sitter spacetimes and show that it is no longer isotropic. However an average of the c function over the angular variables yields a renormalization group flow in agreement with the expansion of spacetime at future infinity.},
doi = {10.1103/PhysRevD.72.064024},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 6,
volume = 72,
place = {United States},
year = {2005},
month = {9}
}