Hayward black holes in Einstein-Gauss-Bonnet gravity
Abstract
The Hayward metric is a spherically symmetric charged regular black holes, a modification of the Reisnner-Nordstrm black holes of Einstein's equations coupled to nonlinear electrodynamics. We consider Einstein-Gauss-Bonnet gravity (EGB) coupled to nonlinear electrodynamics to present an exact five dimension () Hayward black holes with a regular center, having inner (Cauchy) and outer (event) horizons which go over to Boulware-Desser black holes when the charge is switched off (). The presence of charge leads the modification in thermodynamical quantities, and it has also been shown that the Hawking-Page like phase transition can be achieved. The specific heat shows divergence at the horizon radius (critical radius), where the temperature has a maximum. Our result in the limit, , reduces vis-a-vis to the Boulware-Desser solutions.
Cite
@article{arxiv.2003.14016,
title = {Hayward black holes in Einstein-Gauss-Bonnet gravity},
author = {Arun Kumar and Dharm Veer Singh and Sushant G. Ghosh},
journal= {arXiv preprint arXiv:2003.14016},
year = {2020}
}