Stationary Axisymmetric Solutions and their Energy Contents in Teleparallel Equivalent of Einstein Theory

TL;DR

This paper calculates the energy content of stationary axisymmetric solutions using a coordinate-independent energy-momentum tensor in teleparallel gravity, comparing results with those from general relativity and Møller's tetrad theory.

Contribution

It introduces a coordinate-independent method to evaluate energy in teleparallel gravity and compares it with established theories.

Findings

Energy calculations align with previous results in general relativity.

Demonstrates the effectiveness of the energy-momentum tensor in teleparallel gravity.

Provides insights into energy distribution in axisymmetric solutions.

Abstract

We apply the energy-momentum tensor which is coordinate independent to calculate the energy content of the axisymmetric solutions. Our results are compared with what have been obtained before within the framework of Einstein general relativity and M{\o}ler's tetrad theory of gravitation.