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–Nordström 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 (5D) 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 (e=0). The presence of charge e 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 r=rC (critical radius), where the temperature has a maximum. Our result in the limit, e→0, reduces vis-a-vis to the 5D Boulware–Desser solutions.