Energy associated with a static spherically symmetric nonsingular black hole

TL;DR

This paper compares different energy-momentum complexes in evaluating the energy distribution of a nonsingular black hole, highlighting their similarities and differences in a specific spacetime model.

Contribution

It provides a comparative analysis of various energy-momentum complexes applied to a nonsingular black hole spacetime, emphasizing their consistency and discrepancies.

Findings

Einstein, Tolman, and Weinberg complexes agree in Schwarzschild coordinates.

Papapetrou and Møller complexes differ from the others.

Energy distribution results support the importance of energy-momentum complexes in general relativity.

Abstract

We evaluate the energy distributions of the Dymnikova space-time using the Weinberg, Papapetrou, and M{\o}ller energy-momentum complexes. This result sustain the importance of the energy-momentum complexes in the evaluation of the energy distribution of a given space-time. To compare the energy distributions obtained by using several definitions, these results show that the Einstein, Tolman, and Weinberg energy complexes are the same in Schwarzschild Cartesian coordinates, but the Papapetrou and the M{\o}ller are not.