Nonsingular black hole chemistry in 4D Einstein-Gauss-Bonnet gravity

The EGB is an outcome of quadratic curvature corrections to the Einstein-Hilbert gravity action in form a Gauss-Bonnet (GB) term D>4 dimensions, and topologically invariant 4D. Several ways have been proposed for regularizing D→4 limit non-trivial gravitational dynamics Motivated by importance AdS/CFT, we obtain exact static spherically symmetric nonsingular black hole 4D coupled nonlinear electrodynamics (NED) AdS spacetime. We interpret negative cosmological constant Λ as positive pressure, via P=−Λ/8π, system's thermodynamic properties with background. find that P0 are stable thermal fluctuations unstable otherwise. also analyzed Gibbs free energy small globally undergo phase transition large holes. Further, study P−V criticality system then calculate critical exponents our behaves like Van der Walls fluid.