Entropy of Kerr-de Sitter black hole

TL;DR

This paper proposes a corrected total entropy for Kerr-de Sitter black holes considering horizon correlations, revealing how stability regions depend on the black hole's rotation parameter.

Contribution

It introduces a new entropy formulation accounting for horizon correlations and analyzes stability dependence on rotation in Kerr-de Sitter black holes.

Findings

Corrected total entropy includes correlation contributions.

Stability region expands with increasing angular velocity parameter.

Effective thermodynamic approach applied to Kerr-de Sitter black holes.

Abstract

Based on the consideration that the black hole horizon and the cosmological horizon of Kerr-de Sitter black hole are not independent each other, we conjecture the total entropy of the system should have an extra term contributed from the correlations between the two horizons, except for the sum of the two horizon entropies. By employing globally effective first law and effective thermodynamic quantities, we obtain the corrected total entropy and find that the region of stable state for kerr-de Sitter is related to the angular velocity parameter $a$, i.e., the region of stable state becomes bigger as the rotating parameters $a$ is increases.