Einstein-Gauss-Bonnet gravity with rational nonlinear electrodynamics

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. calculate the Hawking temperature heat capacity hole. phase transitions occur point where possesses extremum. show that holes are thermodynamically stable at some range event horizon radii when positive. logarithmic correction to Bekenstein-Hawking entropy obtained.