Corrections to Reissner-Nordstr\"om black hole solution due to exponential nonlinear electrodynamics

TL;DR

This paper investigates how exponential nonlinear electrodynamics modifies the Reissner-Nordström black hole solution, satisfying energy conditions, altering Coulomb's law at large distances, and violating electric-magnetic duality.

Contribution

It introduces a new exponential nonlinear electrodynamics model and derives corrections to the classical black hole solution, including electromagnetic mass and duality violation.

Findings

Energy conditions are satisfied in the model.

Corrections to Coulomb's law are derived at large distances.

The asymptotic black hole solution shows deviations from Reissner-Nordström.

Abstract

An exponential model of nonlinear electrodynamics coupled with the gravitational field is analyzed. It was shown that weak, dominant, and strong energy conditions are satisfied. We obtain corrections to Coulomb's law at $r\rightarrow\infty$. It was demonstrated that electric-magnetic duality between ${\cal F}$ and ${\cal P}$ frames is violated. The asymptotic black hole solution at $r\rightarrow \infty$ is found that contains corrections to the Reissner-Nordstr\"om solution. The electromagnetic mass of the black hole is calculated, expressed through the parameter $\beta$ of the model.