Thermodynamic analysis of non-linear Reissner-Nordstrom black holes

TL;DR

This paper explores the thermodynamics of black holes in a novel non-linear Electrodynamics model coupled with General Relativity, revealing unique stability regions and phase transition behaviors not seen in standard models.

Contribution

It introduces a gauge and parity invariant non-linear Electrodynamics model and analyzes its impact on Reissner-Nordstrom black hole thermodynamics, uncovering new stability and phase transition phenomena.

Findings

Discovery of a new stability region with negative heat capacity and free energy.

Identification of a single phase transition in the modified black-hole solutions.

Complex thermodynamic behavior differing from standard Electrodynamics black holes.

Abstract

In the present article we study the Inverse Electrodynamics Model. This model is a gauge and parity invariant non-linear Electrodynamics theory, which respects the conformal invariance of standard Electrodynamics. This modified Electrodynamics model, when minimally coupled to General Relativity, is compatible with static and spherically symmetric Reissner-Nordstrom-like black-hole solutions. However, these black-hole solutions present more complex thermodynamic properties than their Reissner-Nordstrom black-hole solutions counterparts in standard Electrodynamics. In particular, in the Inverse Model a new stability region, with both the heat capacity and the free energy negative, arises. Moreover, unlike the scenario in standard Electrodynamics, a sole transition phase is possible for a suitable choice in the set of parameters of these solutions.