Einstein and M{\o}ller energy-momentum complexes for a new regular black hole solution with a nonlinear electrodynamics source

TL;DR

This paper calculates the energy and momentum distributions of a new regular charged black hole using Einstein and Møller complexes, revealing dependencies on black hole parameters and showing consistency with known solutions in special cases.

Contribution

It applies Einstein and Møller energy-momentum complexes to a novel regular black hole with nonlinear electrodynamics, providing new insights into energy distribution in such spacetimes.

Findings

Energy depends on mass, charge, a metric factor, and radius.

All momenta vanish in both prescriptions.

In special cases, results match Schwarzschild black hole energy distribution.

Abstract

A study about the energy and momentum distributions of a new charged regular black hole solution with a nonlinear electrodynamics source is presented. The energy and momentum are calculated using the Einstein and M{\o}ller energy-momentum complexes. The results show that in both pseudotensorial prescriptions the expressions for the energy of the gravitational background depend on the mass $M$ and the charge $q$ of the black hole, an additional factor $\beta $ coming from the spacetime metric considered, and the radial coordinate $r$, while in both prescriptions all the momenta vanish. Further, it is pointed out that in some limiting and particular cases the two complexes yield the same expression for the energy distribution as that obtained in the relevant literature for the Schwarzschild black hole solution.