On the temperature of hairy black holes

Abstract

The gravitational decoupling method represents an extremely useful tool to obtain new solutions of the Einstein equations through minimal geometrical deformations. In this paper, we consider a hairy charged black hole obtained by the gravitational decoupling and calculate its Hawking temperature in order to compare it with the case when the hairs are ignored. We have found out that the hair, under some conditions of black hole parameters, affect the Hawking temperature and can increase it. We have also found out that the black hole temperature, in the hairy case, does not depend on the electric charge.

Keywords

• hairy black hole
• Hawking temperature
• charged black hole
• gravitational decoupling
• Einstein’s equations