On the Gravitational Energy-Momentum Vector in f(T) Theories

TL;DR

This paper derives a general expression for the gravitational energy-momentum vector in f(T) theories, compares it with TEGR, and analyzes the universe's energy under isotropic conditions, contributing to understanding gravitational energy in torsion-based gravity.

Contribution

It introduces a new general expression for gravitational energy-momentum in f(T) theories and compares it with TEGR results under isotropic assumptions.

Findings

Derived a general gravitational energy-momentum expression in f(T) theories.

Found the universe's energy in f(T) theories under isotropy.

Compared energy results with TEGR, highlighting differences.

Abstract

This work is devoted to analyze the energy of the Universe in the context of f(T) theories. Such theories are the analogous counterpart of the well known f(R) theories that, however, uses torsion instead of curvature. We obtain a general expression for the gravitational energy-momentum vector in this framework. Using the hypothesis of the isotropy of spacetime, we find the energy of the Universe and compare it with the energy obtained in the realm of teleparallelism equivalent to general relativity (TEGR).