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 the form of a Gauss-Bonnet (GB) term in D > 4 dimensions, and EGB gravity is topologically invariant in 4D. Several ways have been proposed for regularizing the D -> 4 limit of EGB for non-trivial gravitational dynamics in 4D. Motivated by the importance of AdS/CFT, we obtain an exact static spherically symmetric nonsingular black hole in 4D EGB gravity coupled to the nonlinear electrodynamics (NED) in an AdS spacetime. We interpret the negative cosmological constant A as the positive pressure, via P = -A/87r, of the system's thermodynamic properties of the nonsingular black hole with an AdS background. We find that for P < Pc, the black holes with CP > 0 are stable to thermal fluctuations and unstable otherwise. We also analyzed the Gibbs free energy to find that the small globally unstable black holes undergo a phase transition to the large globally stable black holes. Further, we study the P - V criticality of the system and then calculate the critical exponents to find that our system behaves like Van der Walls fluid.(c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.