Classification of Spherically Symmetric Static Spacetimes according to their Matter Collineations

Details Classification of Spherically Symmetric Static Spacetimes according to their Matter Collineations Classification of Spherically Symmetric Static Spacetimes according to their Matter Collineations

2003-01-10

arxiv.org/abs/gr-qc/0301041v1

Gen.Rel.Grav.35:1093-1106,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, no figure, Latex

Scientific paper

10.1023/A:1024073002648

The spherically symmetric static spacetimes are classified according to their matter collineations. These are studied when the energy-momentum tensor is degenerate and also when it is non-degenerate. We have found a case where the energy-momentum tensor is degenerate but the group of matter collineations is finite. For the non-degenerate case, we obtain either {\it four}, {\it five}, {\it six} or {\it ten} independent matter collineations in which four are isometries and the rest are proper. We conclude that the matter collineations coincide with the Ricci collineations but the constraint equations are different which on solving can provide physically interesting cosmological solutions.

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