Impact of exponential entropy on the thermodynamics of 4D charged Einstein-Guass-Bonnet-AdS black hole

Abstract

Abstract In the presence of exponential corrected entropy, we investigate the thermal stability and phase transitions of a charged 4D Einstein-Gauss-Bonnet-AdS black hole by using the formalism known as the deflection angle formalism. Specifically, with the help of the elliptic function analysis, we investigate the phase structure of the black hole by focusing on the optical aspects. This has come to our attention that the thermal variation of the deflection angle can be used to generate both stable and unstable phases. The Hawking-Page phase transition, which is derived from the Gibbs free energy optical dependence, is another issue that we investigate with the help of exponentially corrected entropy. In addition, there are particular points along the deflection angle that produce a transition between large and small black holes. Our Gibbs free energy versus deflection angle behavior showed that the deflection angle can be utilized as a relevant quantity to determine the critical behavior of AdS black holes. In the presence of exponential corrected entropy, the thermodynamic geometry of a charged 4D Einstein-Guass-Bonnet-AdS black hole is also discussed.