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 ${\mathcal{L}}_{NED}=-\mathcal{F}/(1+\sqrt{2\mid \beta \mathcal{F}\mid })$ ($\mathcal{F}$ 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.

25 pages, 8 figures, 3 tables, published in Annals of Physics

References in corpus (9)

• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• Notes on non-singular models of black holes
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• Nonlinear electrodynamics and magnetic black holes
• Thermodynamics of Conformal Anomaly Corrected Black Holes in AdS Space
• Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime"
• Asymptotic Reissner-Nordström solution within nonlinear electrodynamics
• Nonlinear magnetically charged black holes in 4D Einstein-Gauss-Bonnet gravity