Hayward black holes in Einstein-Gauss-Bonnet gravity

The Hayward metric is a spherically symmetric charged regular black holes, a modification of the Reisnner-Nordstrom 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 = r(C) (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. (C) 2020 Elsevier Inc. All rights reserved.