Nonsingular Black Holes in 4D Einstein–Gauss–Bonnet Gravity

Recently, several methods have been proposed to regularize a D→4 limit of Einstein–Gauss–Bonnet (EGB), leading nontrivial gravitational dynamics in 4D. We present an exact nonsingular black hole solution the 4D EGB gravity coupled non-linear electrodynamics and analyze their thermodynamic properties calculate precise expressions for mass, temperature, entropy. Because magnetic charge, quantities are corrected, Hawking–Page phase transition is achievable with diverges heat capacity at larger critical radius r=r+C comparison 5D counterpart where temperature maximum. Thus, we Cauchy event horizons, its evaporation leads thermodynamically stable extremal remnant vanishing size than counterpart. The entropy does not satisfy usual horizon Bekenstein–Hawking area law general relativity logarithmic correction term.