Thermodynamic phase transition and Joule Thomson adiabatic expansion for dS/AdS Bardeen Black Holes with consistent 4D Gauss-Bonnet gravity

TL;DR

This paper investigates the thermodynamic phase transitions and Joule Thomson expansion of 4D de Sitter and Anti-de Sitter Bardeen black holes within a consistent Einstein-Gauss-Bonnet gravity framework that includes nonlinear electromagnetic fields.

Contribution

It introduces a novel analysis of thermodynamics and Joule Thomson effects for Bardeen black holes in 4D EGB gravity with nonlinear electromagnetic fields, addressing previous inconsistencies.

Findings

GB coupling affects phase transition behavior

Joule Thomson coefficient varies with black hole parameters

Thermodynamic properties depend on nonlinear electromagnetic fields

Abstract

Instead of the work \cite{1} which in according to the Lovelock theorem it could not applicable for all types of 4D curved spacetimes of Einstein Gauss Bonnet (EGB) gravity, authors of the work \cite{2} applied break of diffeomorphism property to present a consistent EGB gravity theory. In this work we use the latter model by adding a nonlinear electromagnetic field lagrangian density to study affects of GB coupling constant into the thermodynamic phase transition and Joule Thomson (JT) adiabatic expansion of a 4D $dS/AdS$ GB Bardeen black hole.