Rotating black hole and entropy for modified theories of gravity

TL;DR

This paper investigates how modifications to general relativity affect the entropy of Kerr black holes, showing the area law holds for scalar curvature and Ricci tensor deviations but is altered by Riemann tensor terms.

Contribution

It provides a detailed analysis of black hole entropy in various modified gravity theories, highlighting the conditions under which the area law is preserved or modified.

Findings

Entropy follows the area law for scalar curvature and Ricci tensor modifications.

Explicit Riemann tensor terms lead to corrections in the entropy.

The results clarify the impact of different curvature terms on black hole thermodynamics.

Abstract

In this paper we obtain the entropy of the Kerr black hole for a number of modified theories of gravity. We show that as long as the deviation from Einstein Hilbert term consists purely of terms involving scalar curvature and Ricci tensor, the entropy is solely given by the area law. However, the area law will be modified by appropriate corrections when we consider terms involving Riemann tensor explicitly.