Thermodynamic Products for Einstein-Gauss-Bonnet Black Hole with {\alpha}-Corrected Entropy Term

TL;DR

This paper investigates thermodynamic products of a charged five-dimensional Einstein-Gauss-Bonnet black hole with an orrected entropy term, analyzing horizon properties, stability, and potential insights into microscopic black hole structure.

Contribution

It introduces the orrected entropy term into thermodynamic analysis of Einstein-Gauss-Bonnet black holes and examines the mass independence of thermodynamic products.

Findings

Horizon radii and entropy products are analyzed for mass independence.

Stability assessed via specific heat and free energy calculations.

Results may shed light on the microscopic nature of black holes.

Abstract

In the present work, we consider a charged black hole in five dimensional Einstein-Gauss-Bonnet gravity where the {\alpha} corrected entropy term is considered. We examine the horizon radii product, entropy product, Hawking temperature product and free energy product for both event horizon and Cauchy horizon. Our motive is to check whether the same quantity for event horizon and Cauchy horizon is free of mass, i.e., global or not. We further study the stability of such black hole by computing the specific heat and free energy for both the horizons. All these calculation might be helpful to understand the microscopic nature of such black holes.