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–Nordström 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.
- Received 24 October 2014
DOI:https://doi.org/10.1103/PhysRevD.90.124045
© 2014 American Physical Society