On electromagnetic energy in Bardeen and ABG spacetimes

TL;DR

This paper shows that the total electromagnetic energy in Bardeen and ABG spacetimes equals the mass parameter, supporting the idea that mass can be electromagnetic in origin, consistent with nonlinear electrodynamics theories.

Contribution

It proves that the electromagnetic energy in these specific regular black hole models equals the mass parameter, independent of charge, aligning with nonlinear electrodynamics concepts.

Findings

Electromagnetic energy equals the mass parameter M

Result is independent of charge Q

Supports electromagnetic origin of mass in these models

Abstract

We demonstrate that the total energy of electromagnetic field in the Bardeen and Ay\'on-Beato-Garc\'ia singularity-free models is equal to the mass parameter $M$, being therefore independent of the charge parameter $Q$. Our result is fully congruent with the original idea of Born and Infeld to use nonlinear electrodynamics for proving the electromagnetic nature of mass.