Energy-Momentum Distribution of Non-Static Plane Symmetric Spacetimes in GR and TPT

TL;DR

This paper investigates the energy-momentum distribution in non-static plane symmetric spacetimes within General Relativity and teleparallel gravity, comparing four different prescriptions and highlighting where results agree or differ.

Contribution

It provides a comparative analysis of energy-momentum prescriptions in GR and TPT for non-static plane symmetric spacetimes, revealing consistencies and differences among them.

Findings

First three prescriptions yield identical results in both theories.

Møller prescription results differ between GR and TPT.

Results align with previous findings for Bell-Szekeres metric under specific conditions.

Abstract

This paper is devoted to explore the energy-momentum of non-static plane symmetric spacetimes in the context of General Relativity and teleparallel theory of gravity. For this purpose, we use four prescriptions, namely, Einstein, Landau-Lifshitz, Bergmann-Thomson and M{\o}ller in both theories. It is shown that the results for the first three prescriptions turn out to be same in both the theories but different for last prescription. It is mentioning here that our results coincide with the results obtained by Sharif and kanwal [1] for Bell-Szekeres metric under certain choice of the metric functions.