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

Abstract

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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Cited by in corpus (5)

• Thermodynamics and Phase Transition of Spherically Symmetric Black Hole in de Sitter Space from Rényi Statistics
• Continuous Phase Transition of the higher-dimensional topological de-Sitter Spacetime with the Non-linear Source
• Charged dilatonic black holes in dilaton-massive gravity
• Hawking-Page Phase Transition of the four-dimensional de-Sitter Spacetime with non-linear source
• Universality on thermodynamic relation with corrections in higher-dimensional de Sitter black holes