Reissner-Nordstrom Black Holes in the Inverse Electrodynamics Model

TL;DR

This paper explores Reissner-Nordstrom black holes within an inverse electrodynamics model, revealing complex thermodynamic behaviors and phase space characteristics distinct from standard black hole solutions.

Contribution

It demonstrates that the inverse electrodynamics model supports Reissner-Nordstrom black holes with unique thermodynamic properties and provides a comprehensive phase space analysis.

Findings

Supports standard metric with complex thermodynamics

Analyzes phase space via Euclidean Action

Identifies conditions affecting heat capacity and free energy

Abstract

We study electric and magnetic monopoles in static, spherically symmetric and constant curvature geometries in the context of the inverse electrodynamics model. We prove that this U(1) invariant Lagrangian density is able to support the standard metric of a Reissner-Nordstrom Black Hole, but with more complex thermodynamical properties than in the standard case. By employing the Euclidean Action approach we perform a complete analysis of its phase space depending on the sign and singularities of the heat capacity and the Helmholtz free energy.