Einstein−Gauss−Bonnet gravity with nonlinear electrodynamics

Abstract

We obtain an exact spherically symmetric and magnetically charged black hole solution in 4D Einstein−Gauss−Bonnet gravity coupled with nonlinear electrodynamics with the Lagrangian L N ED = −F/(1+ 2 | βF |) (F is the field strength invariant). The thermodynamics of the black hole is studied within our model. We calculate the Hawking temperature and the heat capacity of the black hole. The phase transitions occur in the point where the Hawking temperature possesses an extremum and the heat capacity diverges. It was shown that black holes are thermodynamically stable in some range of event horizon radii when the heat capacity and Hawking temperature are positive. The logarithmic correction to the Bekenstein−Hawking BH entropy is obtained which mimics a quantum correction. The dependence of the BH shadow radius on the model parameters is studied. We also investigate the particle emission rate of the BH. The stability of the BH is studied by analysing the quasinormal modes.

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

“…The quasinormal modes are investigated and it is shown that increasing the parameter B the scalar perturbations oscillate with greater frequency and decay fast. It is worth noting that other solutions in 4D EGB gravity coupled with some NED were obtained in [51][52][53]. It is of interest to study solutions of BHs in 4D EGB gravity coupled with different NED because astrophysical characteristics depend on them.…”

“…The entropy (24) does not contain the NED parameter β. The entropy (24) was obtained in 4D EGB gravity coupled with other NED models in [51][52][53]. Thus, entropy (24) does not depend on NED, which is due to the GB term in action, and the logarithmic correction vanishes when α = 0.…”

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

“…The quasinormal modes are investigated and it is shown that increasing the parameter B the scalar perturbations oscillate with greater frequency and decay fast. It is worth noting that other solutions in 4D EGB gravity coupled to some NED were obtained in [45]- [47]. It is of interest to study solutions of BHs in 4D EGB gravity coupled to different NED because astrophysical characteristics depend on them.…”

“…The entropy (24) does not contain the NED parameter β. The entropy (24) was obtained in 4D EGB gravity coupled to other NED models in [45]- [47]. Thus, entropy (24) does not depend on NED is due to GB term in the action and the logarithmic correction vanishes when α = 0.…”

Probing a non-linear electrodynamics black hole with thin accretion disk, shadow, and deflection angle with M87* and Sgr A* from EHT

“…the Newton constant G N is also included. The NED Lagrangian utilized in this work is suggested in [99] (see also [100])…”