Bergmann-Thomson energy-momentum complex for solutions more general than the Kerr-Schild class

TL;DR

This paper extends previous findings by demonstrating that the Bergmann-Thomson energy-momentum complex coincides with other complexes for metrics more general than the Kerr-Schild class, broadening the scope of energy-momentum localization results.

Contribution

It proves that the Bergmann-Thomson complex coincides with other energy-momentum complexes for a broader class of metrics beyond Kerr-Schild.

Findings

Bergmann-Thomson complex coincides with other complexes for generalized metrics.

Extends previous results beyond Kerr-Schild class.

Supports the idea of consistent energy-momentum localization.

Abstract

In a very well-known paper, Virbhadra's research group proved that the Weinberg, Papapetrou, Landau and Lifshitz, and Einstein energy-momentum complexes ``coincide'' for all metrics of Kerr-Schild class. A few years later, Virbhadra clarified that this ``coincidence'' in fact holds for metrics more general than the Kerr-Schild class. In the present paper, this study is extended for the Bergmann-Thomson complex and it is proved that this complex also ``coincides'' with those complexes for a more general than the Kerr-Schild class metric.