Energy Contents of Some Non-Vacuum Spacetimes in Teleparallel Gravity

TL;DR

This paper investigates energy-momentum in teleparallel gravity, applying Hamiltonian methods to specific spacetimes, and finds results comparable to those in General Relativity.

Contribution

It introduces an energy-momentum prescription in teleparallel gravity and applies it to Einstein-Maxwell and cosmic string spacetimes, comparing results with General Relativity.

Findings

Energy-momentum results are similar to those in General Relativity.

Computed angular momentum and fluxes for specific spacetimes.

Demonstrated the viability of Hamiltonian approach in teleparallel gravity.

Abstract

This paper elaborates the problem of energy-momentum in the framework of teleparallel equivalent of General Relativity. For this purpose, we consider energy-momentum prescription derived from the integral form of the constraint equations developed in the Hamiltonian formulation of the teleparallel equivalent of General Relativity. We use this technique to investigate energy-momentum of stationary axisymmetric Einstein-Maxwell solutions and cosmic string spacetimes. The angular momentum, gravitational and matter energy-momentum fluxes of these spacetimes are also evaluated. It is concluded that the results of teleparallel theory are relatively analogous to the results of General Relativity.