Classification of Spherically Symmetric Static Spacetimes according to their Matter Collineations

Abstract

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.

15 pages, no figure, Latex

References in corpus (3)

• Symmetries of Bianchi I space-times
• Ricci Collineations of the Bianchi Types I and III, and Kantowski-Sachs Spacetimes
• Ricci Collineations of the Bianchi Type II, VIII, and IX Space-times

Cited by in corpus (7)

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• Matter collineations of Spacetime Homogeneous Gödel-type Metrics
• Construction of Sources for Majumdar-Papapetrou Spacetimes
• Conformal symmetries of the energy-momentum tensor of spherically symmetric static spacetimes
• Symmetries of the Energy-Momentum Tensor: Some Basic Facts
• Addendum: Symmetries of the energy-momentum tensor
• Generalizing Birkhoff