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

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.