The energy of the universe in teleparallel gravity. (English) Zbl 1055.83013

Summary: 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 in the case of a closed universe, the total energy vanishes independently of the pseudotensor used, as well as of the three dimensionless coupling constants of teleparallel gravity.


83C40 Gravitational energy and conservation laws; groups of motions
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
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