Charged Rotating AdS Black Hole and Its Thermodynamics in Conformal Gravity

TL;DR

This paper derives charged rotating black hole solutions in conformal gravity, analyzes their global structure and thermodynamics, and introduces new neutral rotating black holes beyond Einstein metrics.

Contribution

It presents new charged rotating black hole solutions in conformal gravity and explores their thermodynamics and global structure.

Findings

Charged rotating black holes in conformal gravity are obtained.

Thermodynamical quantities and the first law are verified.

New neutral rotating black holes beyond Einstein metrics are discovered.

Abstract

We obtain the charged rotating black hole in conformal gravity. The metric is asymptotic to the (anti-)de Sitter spacetime. The contribution to the metric from the charges has a slower falloff than that in the Kerr-Newman AdS black hole. We analyse the global structure and obtain all the thermodynamical quantities including the mass, angular momentum, electric/magnetic charges and their thermodynamical conjugates. We verify that the first law of thermodynamics holds. We also obtain the new neutral rotating black holes that are beyond Einstein metrics. In contrast to the static ones, these rotating black holes have no parameters associated with the massive spin-2 hair.