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

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arxiv 2003.13104 v3 pith:WLUS4ZIF submitted 2020-03-29 gr-qc

Arun Kumar , Rahul Kumar Walia , Sushant G. Ghosh This is my paper
classification gr-qc
keywords blackhorizongravityholesregularizedbardeeneinstein--gauss--bonnetexact
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abstract

We obtain exact Bardeen black holes to the regularized $4D$ 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 $\alpha$ 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 $4D$ 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 $4D$ EGB gravity belonging to the scalar-tensor theory is appended.

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Cited by 4 Pith papers

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  3. Energy Extraction and Evolution of Regular Black Holes: The Case of Bardeen Spacetime

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    Massive scalar perturbations of 4D Einstein-Gauss-Bonnet de Sitter black holes are stable and show three quasinormal mode branches, including a non-perturbative de Sitter branch that disappears in the Schwarzschild-de...

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