Energy-Momentum Problem of Bell-Szekeres Metric in General Relativity and Teleparallel Gravity

TL;DR

This study compares energy-momentum distributions of the Bell-Szekeres metric in General Relativity and teleparallel gravity using various prescriptions, finding consistent results across theories and constant energy with M"{o}ller's approach.

Contribution

It provides a comparative analysis of energy-momentum in two gravitational theories using multiple prescriptions, highlighting their agreement and the constancy of energy with M"{o}ller's method.

Findings

Prescriptions yield identical energy-momentum densities in both theories.

M"{o}ller's prescription results in constant energy.

Energy-momentum distributions are consistent across theories.

Abstract

This paper is devoted to the investigation of the energy-momentum problem in two theories, i.e., General Relativity and teleparallel gravity. We use Einstein, Landau-Lifshitz, Bergmann-Thomson and M\"{o}ller's prescriptions to evaluate energy-momentum distribution of Bell-Szekeres metric in both the theories. It is shown that these prescriptions give the same energy-momentum density components in both General Relativity and teleparallel theory. M\"{o}ller's prescription yields constant energy in both the theories.