Energy-Momentum of the Friedmann Models in General Relativity and Teleparallel Theory of Gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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14 pages, accepted for publication in Canadian J. Phys

Scientific paper

10.1139/P08-073

This paper is devoted to the evaluation of the energy-momentum density components for the Friedmann models. For this purpose, we have used M${\o}$ller's pseudotensor prescription in General Relativity and a certain energy-momentum density developed from his teleparallel formulation. It is shown that the energy density of the closed Friedmann universe vanishes on the spherical shell at the radius $\rho=2\sqrt{3}$. This coincides with the earlier results available in the literature. We also discuss the energy of the flat and open models. A comparison shows a partial consistency between the M${\o}$ller's pseudotensor for General Relativity and teleparallel theory. Further, it is shown that the results are independent of the free dimensionless coupling constant of the teleparallel gravity.

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