Charged Dilaton, Energy, Momentum and Angular-Momentum in Teleparallel Theory Equivalent to General Relativity

TL;DR

This paper calculates energy, momentum, and angular momentum in a teleparallel gravity framework for charged dilaton spacetimes, highlighting the importance of regularized energy-momentum tensors for consistent results.

Contribution

It applies a coordinate-independent energy-momentum tensor in TEGR to charged dilaton spacetimes, demonstrating the need for regularization to obtain consistent energy values.

Findings

One tetrad yields consistent energy results.

Regularized energy-momentum tensor is necessary for accuracy.

Energy within the event horizon is computed.

Abstract

We apply the energy-momentum tensor to calculate energy, momentum and angular-momentum of two different tetrad fields. This tensor is coordinate independent of the gravitational field established in the Hamiltonian structure of the teleparallel equivalent of general relativity (TEGR). The spacetime of these tetrad fields is the charged dilaton. Our results show that the energy associated with one of these tetrad fields is consistent, while the other one does not show this consistency. Therefore, we use the regularized expression of the gravitational energy-momentum tensor of the TEGR. We investigate the energy within the external event horizon using the definition of the gravitational energy-momentum.