Black Holes in 4D Einstein-Gauss-Bonnet gravity with exponential electrodynamics

TL;DR

This paper presents an exact static black hole solution in 4D Einstein-Gauss-Bonnet gravity coupled with exponential electrodynamics in AdS space, analyzing its thermodynamics, stability, and horizon structure.

Contribution

It introduces a new exact black hole solution in 4D Einstein-Gauss-Bonnet gravity with exponential electrodynamics and explores its thermodynamic properties and stability.

Findings

Black hole solution with specific horizon structure

Extended phase space thermodynamics derived

Black hole stability analyzed via specific heat and free energy

Abstract

We investigate $4D$ Einstein-Gauss-bonnet gravity coupled to exponential electrodynamics in AdS background and found a static, spherically symmetric exact black hole solution. The horizon structure of black hole is discussed. Treating the cosmological constant as pressure, we drive first law of black hole thermodynamics in extended phase space. We compute the electrostatic potential and vacuum polarization of the black hole. To study local thermodynamical stability specific heat of the black hole is computed. Finally, we study Helmholtz free energy to analyse the global stability of black holes.