Thermodynamic Product Relations for Generalized Regular Black Hole

TL;DR

This paper derives and analyzes thermodynamic relations for a generalized regular black hole with four parameters, revealing universal, mass-independent functions of horizon areas and exploring their thermodynamic properties.

Contribution

It introduces new thermodynamic product relations for a four-parametric regular black hole, highlighting potential universal quantities and expanding understanding of black hole thermodynamics.

Findings

Derived thermodynamic product relations for the black hole

Identified mass-independent, universal functions of horizon areas

Analyzed complete thermodynamics of the black hole

Abstract

We derive thermodynamic product relations for four-parametric regular black hole (BH) solutions of the Einstein equations coupled with a non-linear electrodynamics source. The four parameters can be described by the mass ($m$), charge ($q$), dipole moment ($\alpha$) and quadrupole moment ($\beta$) respectively. We study its complete thermodynamics. We compute different thermodynamic products i.e. area product, BH temperature product, specific heat product and Komar energy product respectively. Furthermore, we show that some complicated function of horizon areas that is indeed \emph{mass-independent} and could turn out to be \emph{universal}.