A short note on Magnetized Black-hole in Non-linear Electrodynamics

TL;DR

This paper investigates the thermodynamic behavior of magnetized black holes within non-linear electrodynamics, analyzing entropy, temperature, and stability across parameter spaces to identify phase transitions.

Contribution

It provides a detailed analysis of black hole thermodynamics in non-linear electrodynamics, highlighting parameter-dependent phase transitions and stability conditions.

Findings

Identified regions of phase transitions based on parameters.

Analyzed entropy, temperature, and specific heats as functions of horizon radius and gamma.

Mapped stability regions for magnetized black holes.

Abstract

We have analyzed the thermodynamic properties of magnetized black-hole in the background of non-linear electrodynamics with two parameters $\beta$ and $\gamma$. We have studied the Bekenstein-Hawking entropy, Hawking temperature, specific heats in two-dimesional surface plots as a function of event horizon ($r_{+}$) and $\gamma$. We showed the variation profiles of the above thermodynamic parameters for $\gamma$ [$ 0 \rightarrow 1$]. We identified regions of parameters for the possible phase-transitions and the stability of the black-holes.