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arXiv · 2003.14016

Hayward black holes in Einstein-Gauss-Bonnet gravity

Arun Kumar·Dharm Veer Singh·Sushant G. Ghosh
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Abstract

The Hayward metric is a spherically symmetric charged regular black holes, a modification of the Reisnner-Nordstr$\ddot{o}$m 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, $e\to0$, reduces vis-a-vis to the $5D$ Boulware-Desser solutions.

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Arun Kumar, Dharm Veer Singh, Sushant G. Ghosh. 2020-04-01. Hayward black holes in Einstein-Gauss-Bonnet gravity. https://doi.org/10.1016/j.aop.2020.168214

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