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

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).

9 pages, no figures

References in corpus (7)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Good and bad tetrads in f(T) gravity
• Cosmological frames for theories with absolute parallelism
• The Gravitational Energy Problem for Cosmological Models in Teleparallel Gravity

Cited by in corpus (9)

• $D$-dimensional charged Anti-de-Sitter black holes in $f(T)$ gravity
• Analytic rotating black hole solutions in $N$-dimensional $f(T)$ gravity
• Revisiting diagonal tetrads: New Black Hole solutions in $f(T)$ gravity
• Rotating charged AdS solutions in quadratic $f(T)$ gravity
• Cosmological perturbations in gravitational energy-momentum complex
• Quadratic and cubic spherically symmetric black holes in the modified teleparallel equivalent of general relativity: Energy and thermodynamics
• Perturbations of the Gravitational Energy in the TEGR: Quasinormal Modes of the Schwarzschild Black Hole
• Spherically symmetric charged black hole in conformal teleparallel equivalent of general relativity
• Black holes solutions in power-law Maxwell-$f(T)$ gravity in diverse dimensions