Black-hole solution in nonlinear electrodynamics with the maximum allowable symmetries

TL;DR

This paper derives a new black hole solution within Einstein gravity coupled to a recently introduced nonlinear electrodynamics that preserves conformal and SO(2) duality symmetries, analyzing its physical properties and parameter bounds.

Contribution

It presents a novel black hole solution in Einstein gravity with a specific nonlinear electrodynamics, extending the Reissner-Nordström solution with an additional parameter.

Findings

Identified an upper bound for the nonlinear parameter based on causality and unitarity.

Analyzed how the nonlinear parameter affects black hole properties.

Extended the Reissner-Nordström solution with new physical insights.

Abstract

The nonlinear Maxwell Lagrangian preserving both conformal and SO(2) duality-rotation invariance has been introduced very recently. Here, in the context of Einstein's theory of gravity minimally coupled with this nonlinear electrodynamics, we obtain a black hole solution which is the Reissner-Nordstr\"{o}m black hole with one additional parameter that is coming from the nonlinear theory. We employ the causality and unitarity principles to identify an upper bound for this free parameter. The effects of this parameter on the physical properties of the black hole solution are investigated.