Matter Collineations of Plane Symmetric Spacetimes

Details Matter Collineations of Plane Symmetric Spacetimes Matter Collineations of Plane Symmetric Spacetimes

2008-09-09

arxiv.org/abs/0809.1528v1

Chinese J. Physics 46(2008)621-635

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, accepted for publication in Chinese J. Physics

Scientific paper

This paper is devoted to the study of matter collineations of plane symmetric spacetimes (for a particular class of spacetimes) when the energy-momentum tensor is non-degenerate. There exists many interesting cases where we obtain proper matter collineations. The matter collineations in these cases are {\it four}, \emph{five}, {\it six}, \emph{seven} and {\it ten} with some constraints on the energy-momentum tensor. We have solved some of these constraints to obtain solutions of the Einstein field equations.

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