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Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant

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arxiv hep-th/0602269 v3 pith:UZZ6ZNYN submitted 2006-02-25 hep-th

classification hep-th
keywords blackcosmologicalconstantholeholeshorizonsitterthermodynamical
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the thermodynamic properties associated with the black hole event horizon and the cosmological horizon for black hole solutions in asymptotically de Sitter spacetimes. We examine thermodynamics of these horizons on the basis of the conserved charges according to Teitelboim's method. In particular, we have succeeded in deriving the generalized Smarr formula among thermodynamical quantities in a simple and natural way. We then show that cosmological constant must decrease when one takes into account the quantum effect. These observations have been obtained if and only if cosmological constant plays the role of a thermodynamical state variable. We also touch upon the relation between inflation of our universe and a phase transition of black holes.

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Cited by 3 Pith papers

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    Melnikov analysis shows charge is essential for chaos under temporal perturbations in Hayward black holes with string fluids while spatial perturbations always produce chaos, with Lyapunov exponents modulated by strin...

  3. 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...

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