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

TL;DR

This paper introduces the concept of effective temperature for higher-dimensional de Sitter black holes with nonlinear sources, deriving their entropy and thermodynamic properties based on the first law of thermodynamics.

Contribution

It proposes a new effective temperature concept for dS black holes and derives their entropy and thermodynamic quantities independently of variable choices.

Findings

Derived differential equation for black hole entropy.

Obtained explicit entropy and thermodynamic quantities.

Analyzed parameter effects on thermodynamic behavior.

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.