Symmetries of the Energy-Momentum Tensor of Spherically Symmetric Lorentzian Manifolds

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dc.creatorSharif, M.
dc.date2003-07-29
dc.date.accessioned2026-07-07T11:30:01Z
dc.date.available2026-07-07T11:30:01Z
dc.descriptionMatter collineations of spherically Symmetric Lorentzian Manifolds are considered. These are investigated when the energy-momentum tensor is non-degenerate and also when it is degenerate. We have classified spacetimes admitting higher symmetries and spacetimes admitting SO(3) as the maximal isometry group. For the non-degenerate case, we obtain either {\it four}, {\it six}, {\it seven} or {\it ten} independent matter collineations in which {\it four} are isometries and the rest are proper. The results of the previous paper [1] are recovered as a special case. It is worth noting that we have also obtained two cases where the energy-momentum tensor is degenerate but the group of matter collineations is finite-dimensional, i.e. {\it four} or {\it ten}.
dc.description25 pages, no figure, Latex, accepted for publication in J. Math. Phys
dc.identifierhttps://arxiv.org/abs/gr-qc/0307116
dc.identifierhttp://arxiv.org/abs/gr-qc/0307116
dc.identifierJ.Math.Phys.44:5141-5158,2003
dc.identifierdoi:10.1063/1.1610779
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196898
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSymmetries of the Energy-Momentum Tensor of Spherically Symmetric Lorentzian Manifolds
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