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

Abstract

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.

13 pages, 4 figures, version to appear in PRD

References in corpus (4)

• Phase transitions for the topological de Sitter spaces and Schwarzschild-de Sitter black hole
• The Real Scalar Field Equation for Nariai Black Hole in the 5D Schwarzschild-de Sitter Black String Space
• The Entropy Function for the Black Holes of Nariai Class
• Tachyon condensation and off-shell gravity/gauge duality

Cited by in corpus (9)

• Thermodynamics of phase transition in higher dimensional Reissner-Nordström-de Sitter black hole
• Nariai black holes with quintessence
• Thermodynamic properties of Quantum-Corrected AdS Black Hole with Phantom Global Monopoles
• Energy and entropy radiated by a black hole embedded in the de-Sitter braneworld
• Thermodynamics Of dilaton-axion black holes
• Thermodynamics and Joule-Thomson Expansion for Schwarzschild-AdS Black Holes with Cloud of Strings and Quintessential-like Fluid
• A Study of Phase Transition in Black Hole Thermodynamics
• Phase transition of the higher dimensional charged Gauss-Bonnet black hole in de Sitter spacetime
• Hawking radiation inside a charged, cosmological black hole