Energy and Momentum densities of cosmological models, with equation of state $ρ=μ$, in general relativity and teleparallel gravity

Details Energy and Momentum densities of cosmological models, with equation of state $ρ=μ$, in general relativity and teleparallel gravity Energy and Momentum densities of cosmological models, with equation of state $ρ=μ$, in general relativity and teleparallel gravity

2006-03-19

arxiv.org/abs/gr-qc/0603075v2

Int.J.Theor.Phys.46:3263-3274,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, no figures, Minor typos corrected; version to appear in International Journal of Theoretical Physics

Scientific paper

10.1007/s10773-007-9445-8

We calculated the energy and momentum densities of stiff fluid solutions, using Einstein, Bergmann-Thomson and Landau-Lifshitz energy-momentum complexes, in both general relativity and teleparallel gravity. In our analysis we get different results comparing the aforementioned complexes with each other when calculated in the same gravitational theory, either this is in general relativity and teleparallel gravity. However, interestingly enough, each complex's value is the same either in general relativity or teleparallel gravity. Our results sustain that (i) general relativity or teleparallel gravity are equivalent theories (ii) different energy-momentum complexes do not provide the same energy and momentum densities neither in general relativity nor in teleparallel gravity. In the context of the theory of teleparallel gravity, the vector and axial-vector parts of the torsion are obtained. We show that the axial-vector torsion vanishes for the space-time under study.

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