Regular black holes with a nonlinear electrodynamics source

TL;DR

This paper constructs various charged regular black hole solutions using probability-inspired mass distributions, ensuring they satisfy energy conditions and connect to nonlinear electrodynamics models that reduce to Maxwell theory in weak fields.

Contribution

It introduces new regular black hole metrics based on probability distributions, linking them to nonlinear electrodynamics and satisfying physical energy conditions.

Findings

Some metrics satisfy the weak energy condition.

Metrics asymptotically behave as Reissner--Nordstrom black holes.

Solutions include models compatible with Maxwell theory in weak fields.

Abstract

We construct several charged regular black hole metrics employing mass distribution functions which are inspired by continuous probability distributions. Some of these metrics satisfy the weak energy condition and asymptotically behave as the Reissner--Nordstrom black hole. In each case, the source to the Einstein equations corresponds to a nonlinear electrodynamics model, which in the weak field limit becomes the Maxwell theory (compatible with the Maxwell weak field limit or approximation). Furthermore, we include other regular black hole solutions that satisfy the weak energy condition and some of them correspond to the Maxwell theory in the weak field limit.