Teleparallel Version of the Levi-Civita Vacuum Solutions and their Energy Contents

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dc.creatorSharif, M.
dc.creatorAmir, M. Jamil
dc.date2008-04-07
dc.date.accessioned2026-07-07T12:28:34Z
dc.date.available2026-07-07T12:28:34Z
dc.descriptionIn this paper, we find the teleparallel version of the Levi-Civita metric and obtain tetrad and the torsion fields. The tensor, vector and the axial-vector parts of the torsion tensor are evaluated. It is found that the vector part lies along the radial direction only while the axial-vector vanishes everywhere because the metric is diagonal. Further, we use the teleparallel version of M$\ddot{o}$ller, Einstein, Landau-Lifshitz and Bergmann-Thomson prescriptions to find the energy-momentum distribution of this metric and compare the results with those already found in General Relativity. It is worth mentioning here that momentum is constant in both the theories for all the prescriptions. The energy in teleparallel theory is equal to the corresponding energy in GR only in M$\ddot{o}$ller prescription for the remaining prescriptions, the energy do not agree in both theories. We also conclude that M$\ddot{o}$ller's energy-momentum distribution is independent of the coupling constant $λ$ in the teleparallel theory.
dc.description15 pages, accepted for publication in Canadian J. Physics
dc.identifierhttps://arxiv.org/abs/0804.0948
dc.identifierhttp://arxiv.org/abs/0804.0948
dc.identifierCan.J.Phys.86:1091-1096,2008
dc.identifierdoi:10.1139/P08-033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215582
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleTeleparallel Version of the Levi-Civita Vacuum Solutions and their Energy Contents
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