Thermal aspects and particle dynamics of Euler-Heisenberg AdS black hole in 4D Einstein Gauss-Bonnet gravity

TL;DR

This paper explores the thermodynamics, particle dynamics, and horizon structure of 4D Einstein Gauss-Bonnet AdS black holes coupled with Euler-Heisenberg nonlinear electrodynamics, revealing significant effects of higher-curvature and nonlinear electromagnetic corrections.

Contribution

It introduces new charged AdS black hole solutions in 4D Einstein Gauss-Bonnet gravity with nonlinear electrodynamics and analyzes their thermodynamic and particle dynamics properties.

Findings

Higher-curvature and nonlinear effects alter the black hole's horizon structure.

Thermodynamic behavior and phase transitions are significantly affected by model parameters.

Particle motion and stability are modified by Gauss-Bonnet corrections.

Abstract

We construct charged AdS black hole solutions in four dimensional Einstein Gauss Bonnet gravity coupled to Euler Heisenberg nonlinear electrodynamics and investigate their physical properties. The modified field equations admit black hole solutions whose horizon structure is significantly affected by higher-curvature and nonlinear electromagnetic corrections, allowing for multiple horizons depending on the model parameters. In the extended phase space, where the cosmological constant is interpreted as thermodynamic pressure, we analyze the thermodynamic behavior and show that both the Gauss Bonnet coupling and the Euler Heisenberg parameter induce notable modifications in the equation of state, critical behavior, and thermal stability. Interpreting the black hole mass as enthalpy, we study the Joule-Thomson expansion and determine the inversion temperature and pressure, demonstrating that higher curvature and nonlinear electrodynamic effects substantially influence the cooling and heating regions. Finally, we examine time-like geodesics and show that Gauss Bonnet corrections significantly modify the effective potential, orbital stability, and particle motion in the strong-field regime