Bardeen Black Holes in the Regularized $4D$ Einstein--Gauss--Bonnet Gravity

Arun Kumar; Rahul Kumar Walia; Sushant G. Ghosh

doi:10.3390/universe8040232

paper

Bardeen Black Holes in the Regularized $4 D$ Einstein--Gauss--Bonnet Gravity

arXiv:2003.13104 · doi:10.3390/universe8040232

Abstract

We obtain exact Bardeen black holes to the regularized $4 D$ Einstein--Gauss--Bonnet (EGB) gravity minimally coupled with the nonlinear electrodynamics (NED). In turn, we analyze the horizon structure to determine the effect of GB parameter $α$ on the minimum cutoff values of mass, $M_{0}$ , and magnetic monopole charge, $g_{0}$ , for the existence of a black hole horizon. We obtain an exact expression for thermodynamic quantities, namely, Hawking temperature $T_{+}$ , entropy $S_{+}$ , Helmholtz free energy $F_{+}$ , and specific heat $C_{+}$ associated with the black hole horizon, and they show significant deviations from the $4 D$ EGB case owing to NED. Interestingly, there exists a critical value of horizon radius, $r_{+}^{c}$ , corresponding to the local maximum of Hawking temperature, at which heat capacity diverges, confirming the second-order phase transition. A discussion on the black holes of alternate regularized $4 D$ EGB gravity belonging to the scalar-tensor theory is appended.

arXiv comment15 pages and 4 figures. This was an invited manuscript published in the special issue "Dark Matter and Dark Energy: Particle Physics, Cosmology, and Experimental Searches"

Bardeen Black Holes in the Regularized $4 D$ Einstein--Gauss--Bonnet Gravity

Abstract

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Cited by in corpus (23)

Bardeen Black Holes in the Regularized 4D Einstein--Gauss--Bonnet Gravity

Abstract

References in corpus (70)

Cited by in corpus (23)

Bardeen Black Holes in the Regularized $4 D$ Einstein--Gauss--Bonnet Gravity