Thermodynamics of Schwarzschild-de Sitter black hole: thermal stability of Nariai black hole

Details Thermodynamics of Schwarzschild-de Sitter black hole: thermal stability of Nariai black hole Thermodynamics of Schwarzschild-de Sitter black hole: thermal stability of Nariai black hole

2007-12-20

arxiv.org/abs/0712.3315v2

Phys.Rev.D77:104007,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 4 figures, version to appear in PRD

Scientific paper

10.1103/PhysRevD.77.104007

We study thermodynamics of the Schwarzschild-de Sitter black hole in five dimensions by introducing two temperatures based on the standard and Bousso-Hawking normalizations. We use the first-law of thermodynamics to derive thermodynamic quantities. The two temperatures indicate that the Nariai black hole is thermodynamically unstable. However, it seems that black hole thermodynamics favors the standard normalization, and does not favor the Bousso-Hawking normalization.

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