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arXiv · 0706.3245

The total energy-momentum of the universe in teleparallel gravity

Yu-Xiao Liu·Zhen-Hua Zhao·Jie Yang·Yi-Shi Duan
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Abstract

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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Yu-Xiao Liu, Zhen-Hua Zhao, Jie Yang, Yi-Shi Duan. 2007-08-27. The total energy-momentum of the universe in teleparallel gravity. https://arxiv.org/abs/0706.3245

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