The Lukash PlaneWave Attractor and Relative Energy
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 planewave Bianchi VII_{δ} spacetimes described by the Lukash metric. For this calculation, we consider the teleparallel gravity analogs of the energymomentum formulations of Einstein, BergmannThomson and LandauLifshitz. We find that Einstein and BergmannThomson prescriptions agree with each other and give the same results for the energy distribution in a given spacetime, but the LandauLifshitz complex does not. Energy density turns out to be nonvanishing 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 ω = 1 and Ξ^{2} = 1 in the metric of the Lukash spacetime, and for this special case, we get the same relation among the energymomentum formulations of Einstein, BergmannThomson and LandauLifshitz as obtained for the Lukash spacetime. Furthermore, our results support the hypothesis by Cooperstock that the energy is confined to the region of nonvanishing energymomentum tensor of matter and all nongravitational fields, and also sustain the importance of the energymomentum definitions in the evaluation of the energy distribution associated with a given spacetime.
 Publication:

Modern Physics Letters A
 Pub Date:
 2007
 DOI:
 10.1142/S0217732307021755
 arXiv:
 arXiv:grqc/0609101
 Bibcode:
 2007MPLA...22.1601K
 Keywords:

 04.20.q;
 04.20.Jb;
 04.50.+h;
 Classical general relativity;
 Exact solutions;
 Gravity in more than four dimensions KaluzaKlein theory unified field theories;
 alternative theories of gravity;
 General Relativity and Quantum Cosmology
 EPrint:
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