The Gravitational Energy Problem for Cosmological Models in Teleparallel Gravity

Details The Gravitational Energy Problem for Cosmological Models in Teleparallel Gravity The Gravitational Energy Problem for Cosmological Models in Teleparallel Gravity

2010-10-15

arxiv.org/abs/1010.3235v1

International Journal of Modern Physics D. Vol. 19, No. 12 (2010) 1925-1935

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1142/S021827181001813X

We present a method to calculate the gravitational energy when asymptotic boundary conditions for the space-time are not given. This is the situation for most of the cosmological models. The expression for the gravitational energy is obtained in the context of the teleparallel equivalent of general relativity. We apply our method first to the Schwarzschild-de Sitter solution of Einstein's equation, and then to the Robertson-Walker Universe. We show that in the first case our method leads to an average energy density of the vacuum space-time, and in latter case the energy vanishes in the case of null curvature.

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