The energy of the universe in teleparallel gravity

TL;DR

This paper calculates the total energy of the universe using teleparallel gravity, demonstrating that it vanishes regardless of curvature or coupling constants, thus contributing to the understanding of gravitational energy in alternative gravity theories.

Contribution

It introduces teleparallel versions of energy-momentum complexes and shows that the universe's total energy is zero in this framework, regardless of parameters.

Findings

Total energy of the universe vanishes in teleparallel gravity.

The result is independent of curvature parameter.

The total energy includes matter and gravitational fields.

Abstract

The teleparallel versions of the Einstein and the Landau-Lifshitz energy-momentum complexes of the gravitational field are obtained. By using these complexes, the total energy of the universe, which includes the energy of both the matter and the gravitational fields, is then obtained. It is shown that the total energy vanishes independently of both the curvature parameter and the three dimensionless coupling constants of teleparallel gravity.