New Model of 4D Einstein–Gauss–Bonnet Gravity Coupled with Nonlinear Electrodynamics

Kruglov, S. I.

doi:10.3390/universe7070249

Cited by 10 publications

(1 citation statement)

References 61 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[57][58][59][60][61][62][63]. Apart from Born-Infeld & Heisenberg-Euler electrodynamics, there exists a variety of NED models such as logarithmic [64][65][66][67][68][69][70], generalized logarithmic [71], double-logarithmic [72], exponential [65][66][67]73], power-Maxwell [74,75], arcsin [76][77][78][79] & some others NED [61,[80][81][82][83][84][85][86][87]. In this paper, we consider the NED model proposed in [81].…”

Section: Introductionmentioning

confidence: 99%

4D Einstein-Gauss-Bonnet Gravity Coupled with Nonlinear Electrodynamics

Kruglov¹

2020

Preprint

View full text Add to dashboard Cite

An exact spherically symmetric and magnetically charged black hole solution in 4D Einstein-Gauss-Bonnet gravity coupled to nonlinear electrodynamics (NED) is obtained. The NED Lagrangian is given by ${\cal L}_{NED} = -{\cal F}/(1+\sqrt[4]{2\beta{\cal F}})$, where ${\cal F}$ is the field invariant. We study the thermodynamics calculating the Hawking temperature and the heat capacity of the black hole. The phase transitions take place when the Hawking temperature has an extremum and the heat capacity is singular. We demonstrate that black holes are thermodynamically stable in some range of event horizon radii where the heat capacity is positive. The BH shadow radii are calculated. It is shown that when increasing the nonlinearity parameter $\beta$ the BH shadow radius is decreased.

show abstract