The energy of the universe in teleparallel gravity

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.

9 pages, no figures

References in corpus (6)

• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Gravitational Lorentz Force and the Description of the Gravitational Interaction
• Gravitational Energy-Momentum Density in Teleparallel Gravity
• Pseudotensors and quasilocal energy-momentum
• Naked singularities and Seifert's conjecture
• On the total energy of open Friedmann-Robertson-Walker universes

Cited by in corpus (55)

• Energy-Momentum in viscous Kasner-type Universe in Bergmann-Thomson Formulations
• On the energy of homogeneous cosmologies
• Energy-Momentum in the Viscous Kasner-type Universe in Teleparallel Gravity
• Relative Energy-Momentum of the Bianchi-I Type Universes in Teleparallel Gravity
• Conserved currents in gravitational models with quasi-invariant Lagrangians: Application to teleparallel gravity
• Energy of the Universe in Bianchi-type I Models in Moller's Tetrad Theory of Gravity
• Bergmann-Thomson energy-momentum complex for solutions more general than the Kerr-Schild class
• Teleparallel Version of the Stationary Axisymmetric Solutions and their Energy Contents
• The Gravitational Energy Problem for Cosmological Models in Teleparallel Gravity
• Different Approaches for Moller's Energy in the Kasner-type Space-time
• Energy-momentum Distribution in Static and Non-static Cosmic String Space-times
• Energy Distribution in f(R) Gravity
• Gravitational Energy-Momentum Density in Bianchi Type-II Space-times
• Energy Density Associated with the Bianchi Type-II Space-Time
• Energy and Angular Momentum Densities in a Godel-Type Universe in the Teleparallel Geometry
• Energy Momentum Localization in Marder Space-Time
• Teleparallel Energy-Momentum Distribution of Spatially Homogeneous Rotating Spacetimes
• On the Energy-Momentum in Closed Universes
• Locally Rotationally Symmetric Vacuum Solutions in f(R) Gravity
• Energy and Momentum densities of cosmological models, with equation of state $\rho =\mu$, in general relativity and teleparallel gravity
• Gravitational energy-momentum pseudo-tensor in Palatini and metric $f(R)$ gravity
• Energy Momentum of Marder Universe in Teleparallel gravity
• The Momentum 4-Vector in Bulk Viscous Bianchi Type-V Space-time
• Energy-Momentum of the Friedmann Models in General Relativity and Teleparallel Theory of Gravity
• Intrinsic vanishing of energy and momenta in a universe
• Energy-momentum Prescriptions in General Spherically Symmetric Space-times
• Cosmological perturbations in gravitational energy-momentum complex
• The Momentum 4-Vector Imparted by Gravitational Waves in Bianchi-type Metrics
• Moller Energy-Momentum Prescription for a Locally Rotationally Symmetric Space-Time
• Energy Associated with the Gibbons-Maeda Dilaton Space-Time
• $f(T)$ gravity and energy distribution in Landau-Lifshitz prescription
• Energy-momentum Density of Gravitational Waves
• Energy Distribution in Reissner-Nordstrom anti-de Sitter black holes in Moller Prescription
• Energy Contents of a Class of Regular Black Hole Solutions in Teleparallel Gravity
• Conventionalism, cosmology and teleparallel gravity
• The meaning of torsion in teleparallel theories
• Energy of a Charged Wormhole
• Moller's Energy in the Dyadosphere of a Charged Black Hole
• On the Gravitational Energy Associated with Spacetimes of Diagonal Metric
• The relative energy of homogeneous and isotropic universes from variational principles
• On the Energy-Momentum Problem in Static Einstein Universe
• Energy-momentum of a Cosmological Brane Model and the Gauge Hierarchy
• Brane-World Black Holes and Energy-Momentum Vector
• Teleparallel Gravitational Energy in the Gamma Metric
• Electric and Magnetic Black Hole Solutions of Moller's Four-Momentum
• An ASSF and the Teleparallelisim
• Conservation of Energy-Momentum in Teleparallel Gravity
• The energy of the universe in the Bianchi type-II cosmological model
• Energy of a Stringy Charged Black Hole in the Teleparallel Gravity
• Møller Energy-Momentum Complex in General Relativity for Higher Dimensional Universes
• The Momentum Four-Vector in Brans-Dicke Wormholes
• Topological Black Holes and Momentum Four Vector
• On the Moller Energy Associated with Black Holes
• The Lukash Plane-Wave Attractor and Relative Energy
• Teleparallel Energy-Momentum Distribution of Locally Rotationally Symmetric Spacetimes