2008/04/07 by M. Sharif, M. Jamil Amir · 10 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Coupling constant #Diagonal #Einstein #Energy–momentum relation #General relativity #Geodesic #Geometry #Mathematical analysis #Mathematical physics #Metric tensor #Physics #Quantum mechanics #Tensor (intrinsic definition) #Tetrad #Torsion (gastropod) #gr-qc
paper · pdf · doi:10.1139/p08-033
published in Canadian Journal of Physics 86(9), 1091-1096 (NRC Research Press) · 15 pages, accepted for publication in Canadian J. Physics
arxiv created 2008/04/07 · openalex publication_date 2008/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In 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 Moller, 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 (GR). It is worth mentioning here that momentum is constant in both of the theories for all the prescriptions. The energy in teleparallel theory is equal to the corresponding energy in GR only in the Moller prescription for the remaining prescriptions, the energy does not agree in both theories. We also conclude that Moller's energy-momentum distribution is independent of the coupling constant λ in the teleparallel theory.PACS Nos.: 04.20.–q, 04.20.Cv