The total energy-momentum of the universe in teleparallel gravity

Details The total energy-momentum of the universe in teleparallel gravity The total energy-momentum of the universe in teleparallel gravity

2007-06-22

arxiv.org/abs/0706.3245v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, no figures, V2: 13 pages, section II reorganized

Scientific paper

We investigate the conservation law of energy-momentum in teleparallel gravity by using general Noether theorem. The energy-momentum current has also superpotential and is therefore identically conserved. The total energy-momentum, which includes the contributions of both matter and gravitational fields, is given by the integral of scalar densities over a three-dimensional spacelike hypersurface. As an example, the universe in teleparallel gravity is investigated. It is shown that the total energy-momentum vanishes independently of both the curvature parameter and the three dimensionless coupling constants of teleparallel gravity.

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