Entropy in the NUT-Kerr-Newman Black Holes Due to an Arbitrary Spin Field

TL;DR

This paper uses the membrane method to analyze the entropy of NUT-Kerr-Newman black holes, confirming the Bekenstein-Hawking law despite complex topological features, and discusses the limitations of a known entropy formula.

Contribution

It demonstrates that the Bekenstein-Hawking area law holds for NUT-Kerr-Newman black holes even with higher Euler characteristic values, and highlights the inapplicability of a specific entropy formula for non-extreme cases.

Findings

The membrane method effectively computes black hole entropy.

The Bekenstein-Hawking law remains valid despite higher Euler characteristic.

The formula $S=rac{ ext{χ}A}{8}$ is invalid for non-extreme black holes.

Abstract

Membrane method is used to compute the entropy of the NUT-Kerr-Newman black holes. It is found that even though the Euler characteristic is greater than two, the Bekenstein-Hawking area law is still satisfied. The formula $S=\chi A/8$ relating the entropy and the Euler characteristic becomes inapplicable for non-extreme four dimensional NUT-Kerr-Newman black holes.