Matter collineation classification of Bianchi type II spacetime

Details Matter collineation classification of Bianchi type II spacetime Matter collineation classification of Bianchi type II spacetime

Sep 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006gregr..38.1331c&link_type=abstract

General Relativity and Gravitation, Volume 38, Issue 9, pp.1331-1346

Physics

1

Matter Collineations, Bianchi Type Ii Spacetime

Scientific paper

In this paper we classified the matter collineations (MCs) of Bianchi type II spacetime according to the degenerate and non-degenerate energy-momentum tensor. It is shown that when the energy-momentum tensor is degenerate, most of the cases yield infinite dimensional MCs whereas some cases give finite dimensional Lie algebras in which there are three, four or five MCs. For the non-degenerate matter tensor cases we obtained that the Lie algebra of MCs is finite dimensional, in which the number of MCs are also three, four or five. Furthermore, we discussed the physical implications of the obtained MCs in the case of perfect fluid as source.

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