Hawking Temperature of Massive Charged Ads Black Hole: a Topological Treatment

TL;DR

This paper applies a topological method to accurately compute the Hawking temperature of charged AdS black holes, including effects of massive gravity, providing a precise and novel approach to black hole thermodynamics.

Contribution

It introduces a topological approach to determine Hawking temperature for charged AdS black holes, extending it to massive gravity scenarios for enhanced accuracy.

Findings

Topological method yields exact Hawking temperature for charged AdS black holes.

Massive gravity influences the Hawking temperature, requiring an integral constant for precise calculation.

The approach improves understanding of black hole thermodynamics in modified gravity theories.

Abstract

In this work, we investigate the Hawking temperature of a charged Ads black hole (spherically symmetric) on the basis of a completely topological method introduced by Robson, Villari, and Biancalana (RVB). This topological method can give the exact Hawking temperature of the charged Ads black hole. We have also derived the Hawking temperature of a charged Ads black hole considering massive gravity. Due to the presence of mass term in the metric function of the charged Ads black hole in massive gravity, the effect of mass term can't be neglected when calculating the Hawking temperature. In massive gravity, the accurate Hawking temperature can be obtained by including an integral constant term, which can be derived from the standard definition.