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Entropy of higher-dimensional topological dS black holes with nonlinear source

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arxiv 1910.14223 v1 pith:LXDFJIN4 submitted 2019-10-31 hep-th

classification hep-th
keywords blackeffectiveentropyholedifferentialequationholesindependent
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On the basis of the first law of black hole thermodynamics, we propose the concept of effective temperature of de Sitter (dS) black holes and conjecture that the effective temperature should be the temperature of the dS black holes when the Hawking radiation temperatures of the black hole horizon and the cosmological horizon are equal. Choosing different independent variables, we can find a differential equation satisfied by the entropy of the dS black hole. It is shown that the differential equation of entropy is independent of the choice of independent variables. From the differential equation, we get the entropy of dS black hole and other effective thermodynamic quantities. We also discuss the influence of several parameters on the effective thermodynamic quantities.

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  1. Universality on thermodynamic relation with corrections in higher-dimensional de Sitter black holes

    gr-qc 2025-07 conditional novelty 4.0 of 10

    The Goon-Penco thermodynamic extremality relation is verified for higher-dimensional, rotating de Sitter black holes with charge.

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