Einstein-Gauss-Bonnet gravity with rational nonlinear electrodynamics

TL;DR

This paper derives an exact magnetically charged black hole solution in 4D Einstein-Gauss-Bonnet gravity coupled with rational nonlinear electrodynamics, analyzing its thermodynamic properties and stability.

Contribution

It presents a novel exact black hole solution in 4D Einstein-Gauss-Bonnet gravity with rational nonlinear electrodynamics and studies its thermodynamics.

Findings

Black hole thermodynamics analyzed, including Hawking temperature and heat capacity.

Phase transitions identified at extremal points of Hawking temperature.

Black holes shown to be thermodynamically stable within certain radii.

Abstract

We obtain an exact spherically symmetric and magnetically charged black hole solution in 4D Einstein-Gauss-Bonnet gravity coupled with rational nonlinear electrodynamics. The thermodynamics of our model is studied. 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. We show that black holes are thermodynamically stable at some range of event horizon radii when the heat capacity is positive. The logarithmic correction to the Bekenstein-Hawking entropy is obtained.