Energy-momentum Distribution in Static and Non-static Cosmic String Space-times

TL;DR

This paper compares various energy-momentum complexes in static and non-static cosmic string spacetimes, finding strong agreements among most and supporting the validity of Einstein's prescription over Moller’s.

Contribution

It provides a comparative analysis of multiple energy-momentum prescriptions in cosmic string spacetimes, highlighting their agreements and supporting Einstein's approach.

Findings

Strong coincidences among different prescriptions.

Disagreement with Lessner's view on Moller’s prescription.

Support for Virbhadra's conclusion on Einstein's prescription.

Abstract

We elaborate the problem of energy-momentum in general relativity by energy-momentum prescriptions theory. In this regard, we calculate M\oller,Landau-Lifshitz, Papapetrou, Einstein, Bergman, Tolman, and Weinberg's energy-momentum complexes in static and nonstatic cosmic string space-times. We obtain strong coincidences between the results. These coincidences can be considered as an extension of Virbhadra's viewpoint that different energy-momentum prescriptions may provide some basis to define a unique quantity. In addition, our results disagree with Lessner's belief about M\oller's prescription and support the Virbhadra's conclusion about the power of Einstein's prescription.