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Classification of Static Plane Symmetric Spacetimes according to their Matter Collineations

M. Sharif
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Abstract

In this paper we classify static plane symmetric spacetimes according to their matter collineations. These have been studied for both cases when the energy-momentum tensor is non-degenerate and also when it is degenerate. It turns out that the non-degenerate case yields either {\it four}, {\it five}, {\it six}, {\it seven} or {\it ten} independent matter collineations in which {\it four} are isometries and the rest are proper. There exists three interesting cases where the energy-momentum tensor is degenerate but the group of matter collineations is finite-dimensional. The matter collineations in these cases are either {\it four}, {\it six} or {\it ten

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M. Sharif. 2003-10-03. Classification of Static Plane Symmetric Spacetimes according to their Matter Collineations. https://doi.org/10.1063/1.1650537

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