Charged black hole solutions of non-linear electrodynamics and generalized gauge field theories

TL;DR

This paper explores unique asymptotically anomalous black hole solutions in three-dimensional gravitating non-linear electrodynamics, focusing on their Lagrangian behaviors and physical properties.

Contribution

It introduces a class of asymptotically anomalous black hole solutions characterized by specific Lagrangian behaviors in non-linear electrodynamics models.

Findings

Identification of asymptotically anomalous black hole configurations

Characterization of solutions based on Lagrangian density behaviors

Analysis of physical admissibility conditions

Abstract

We summarize the main features of a class of \emph{asymptotically anomalous} (asymptotically flat, but non Schwarzschild-like) gravitational configurations in models of gravitating non-linear electrodynamics in three space dimensions, whose Lagrangian densities are defined as arbitrary functions of the two field invariants and constrained by several physical admissibility conditions. This class of models and their associated electrostatic spherically symmetric black hole solutions are characterized by the behaviours of the Lagrangian densities around the vacuum and at the boundary of their domain of definition.