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Cardy-Verlinde Formula and Thermodynamics of Black Holes in de Sitter Spaces

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arxiv hep-th/0112253 v2 pith:ETAUCQV5 submitted 2001-12-31 hep-th

Rong-Gen Cai This is my paper
classification hep-th
keywords sitterblackspacescardy-verlindeformulaholesentropyhorizon
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We continue the study of thermodynamics of black holes in de Sitter spaces. In a previous paper (hep-th/0111093), we have shown that the entropy of cosmological horizon in the Schwarzschild-de Sitter solution and topological de Sitter solution can be expressed in a form of the Cardy-Verlinde formula, if one adopts the prescription to compute the gravitational mass from data at early or late time infinity of de Sitter space. However, this definition of gravitational mass cannot give a similar expression like the Cardy-Verlinde formula for the entropy associated with the horizon of black holes in de Sitter spaces. In this paper, we first generalize the previous discussion to the case of Reissner-Nordstr\"om-de Sitter and Kerr-de Sitter solutions. Furthermore, we find that the entropy of black hole horizon can also be rewritten in terms of the Cardy-Verlinde formula for these black holes in de Sitter spaces, if we use the definition due to Abbott and Deser for conserved charges in asymptotically de Sitter spaces. We discuss the implication of our result. In addition, we give the first law of de Sitter black hole mechanics.

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Cited by 2 Pith papers

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  1. Black hole chemistry: thermodynamics with Lambda

    hep-th 2016-08 accept novelty 3.0 of 10

    Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reen...

  2. Thermodynamic relation on rotating charged black strings with arbitrary cosmological constant

    hep-th 2025-07 conditional novelty 2.0 of 10

    For rotating charged black strings, the Goon-Penco relation follows directly from the extended first law, making the claimed universality a thermodynamic identity.

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