Anti-de Sitter black holes, perfect fluids, and holography

Details Anti-de Sitter black holes, perfect fluids, and holography Anti-de Sitter black holes, perfect fluids, and holography

2003-03-11

arxiv.org/abs/hep-th/0303089v3

Class.Quant.Grav. 20 (2003) 4387-4401

Physics

High Energy Physics

High Energy Physics - Theory

Minor changes to match published version. 9 Pages, Revtex

Scientific paper

10.1088/0264-9381/20/20/304

We consider asymptotically anti-de Sitter black holes in $d$-spacetime dimensions in the thermodynamically stable regime. We show that the Bekenstein-Hawking entropy and its leading order corrections due to thermal fluctuations can be reproduced by a weakly interacting fluid of bosons and fermions (`dual gas') in $\Delta=\alpha(d-2)+1$ spacetime dimensions, where the energy-momentum dispersion relation for the constituents of the fluid is assumed to be $\epsilon = \kappa p^\alpha$. We examine implications of this result for entropy bounds and the holographic hypothesis.

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