# On the energy of a non-singular black hole solution satisfying the weak energy condition

## TL;DR

This paper investigates the energy distribution of a non-singular, charged black hole solution in general relativity coupled with non-linear electrodynamics, using Einstein and Møller energy-momentum complexes, revealing dependence on black hole parameters and vanishing momenta.

## Contribution

It provides a detailed analysis of energy localization for a new non-singular black hole solution satisfying the weak energy condition, comparing two energy-momentum complexes.

## Key findings

- Energy depends on mass, charge, and geometric parameters.
- Both prescriptions show vanishing momenta.
- Comparison highlights differences and special cases.

## Abstract

The energy-momentum localization for a new four-dimensional and spherically symmetric, charged black hole solution that through a coupling of general relativity with non-linear electrodynamics is everywhere non-singular while it satisfies the weak energy condition is investigated. The Einstein and M\{o} ller energy-momentum complexes have been employed in order to calculate the energy distribution and the momenta for the aforesaid solution. It is found that the energy distribution depends explicitly on the mass and the charge of the black hole, on two parameters arising from the space-time geometry considered, and on the radial coordinate. Further, in both prescriptions all the momenta vanish.In addition, a comparison of the results obtained by the two energy-momentum complexes is made, whereby some limiting and particular cases are pointed out.