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The Lukash Plane-Wave Attractor and Relative Energy | | Murat Korunur
; Mustafa Salti
; Oktay Aydogdu
; | | Date: |
22 Sep 2006 | | Abstract: | We study energy distribution in the context of teleparallel theory of gravity, due to matter and fields including gravitation, of the universe based on the plane-wave Bianchi VII$_{delta}$ spacetimes described by the Lukash metric. In order to make this calculation we consider the teleparallel gravity analogs of the energy-momentum formulations of Einstein, Bergmann-Thomson and Landau-Lifshitz. We find that Einstein and Bergmann-Thomson prescriptions agree with each other and give the same results for the energy distribution in a given spacetime, but the Landau-Lifshitz complex does not. Energy density turns out to be non-vanishing in all of these prescriptions. It is interesting to mention that the results can be reduced to the already available results for the Milne universe when we write $omega=1$ and $Xi^2=1$ in the metric of the Lukash spacetime, and for this special case, we get the same relation among the energy-momentum formulations of Einstein, Bergmann-Thomson and Landau-Lifshitz as obtained for the Lukash spacetime. Furthermore, our results support the hypothesis by Cooperstock that the energy is confined to the region of non-vanishing energy-momentum tensor of matter and all non-gravitational fields, and also sustain the importance of the energy-momentum definitions in the evaluation of the energy distribution associated with a given spacetime. | | Source: | arXiv, gr-qc/0609101 | | Services: | Forum | Review | PDF | Favorites | |
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