The Localized Energy Distribution of Dark Energy Star Solutions

TL;DR

This paper investigates energy localization in dark energy star solutions using three different energy-momentum complexes, finding consistent energy distributions across all methods, which supports the robustness of energy localization in such models.

Contribution

It applies multiple energy-momentum complexes to a dark energy star solution and demonstrates their agreement in energy distribution calculations.

Findings

All three prescriptions yield identical energy distributions.

The energy localization results are consistent across different energy-momentum complexes.

Supports the validity of energy localization methods in dark energy models.

Abstract

We examine the question of energy localization for an exact solution of Einstein's equations with a scalar field corresponding to the phantom energy interpretation of dark energy. We apply three different energy-momentum complexes, the Einstein, Papapetrou and M{\o}ller prescriptions, to the exterior metric and determine the energy distribution for each. Comparing the results, we find that the three prescriptions yield identical energy distributions.