Quantum entropy of the Kerr black hole arising from gravitational perturbation

TL;DR

This paper investigates the quantum entropy of Kerr black holes due to gravitational perturbations, highlighting how graviton spin effects influence entropy corrections and the sign of logarithmic contributions based on black hole parameters.

Contribution

It introduces a detailed analysis of graviton spin effects on Kerr black hole entropy using Null tetrad and brick-wall models, emphasizing the dependence on spin and angular momentum.

Findings

Spin effects depend on the square of graviton spins and black hole angular momentum.

Logarithmic correction to entropy can be positive, zero, or negative depending on parameters.

The contribution of the logarithmic term varies with the ratio of angular momentum to horizon radius.

Abstract

The quantum entropy of the Kerr black hole arising from gravitational perturbation is investigated by using Null tetrad and \'t Hooft\'s brick-wall model. It is shown that effect of the graviton\'s spins on the subleading correction is dependent of the square of the spins and the angular momentum per unit mass of the black hole, and contribution of the logarithmic term to the entropy will be positive, zero, and negative for different value of $a/r_+$.