Gravitational radiation fields in teleparallel equivalent of general relativity and their energies

TL;DR

This paper derives new solutions in teleparallel gravity, analyzes their energy properties, and investigates mass loss in Bondi space-time using gravitational energy flux, highlighting issues with divergent energies and regularization.

Contribution

It introduces two new retarded solutions in TEGR and applies a regularized energy-momentum tensor to analyze gravitational energy and mass loss.

Findings

One solution yields divergent energy without regularization.

Regularized energy-momentum tensor helps analyze energy flux.

Mass loss in Bondi space-time is characterized via gravitational energy flux.

Abstract

We derive two new retarded solutions in the teleparallel theory equivalent to general relativity (TEGR). One of these solutions gives a divergent energy. Therefore, we used the regularized expression of the gravitational energy-momentum tensor, which is a coordinate dependent. A detailed analysis of the loss of the mass of Bondi space-time is carried out using the flux of the gravitational energy-momentum.