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The covariant approach to LRS perfect fluid spacetime geometries

Henk van Elst et al 1996 Class. Quantum Grav. 13 1099-1127   doi: 10.1088/0264-9381/13/5/023  Help

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Henk van Elst-+ and George F R Ellis-+++
-+ Astronomy Unit, Queen Mary and Westfield College, University of London, Mile End Road, London E1 4NS, UK
++ Department of Applied Mathematics, University of Cape Town, Rondebosch 7700, Cape Town, South Africa

Abstract. The dynamics of perfect fluid spacetime geometries which exhibit local rotational symmetry (LRS) are reformulated in the language of a 1 + 3 `threading' decomposition of the spacetime manifold, where covariant fluid and curvature variables are used. This approach presents a neat alternative to the orthonormal frame formalism. The dynamical equations reduce to a set of differential relations between purely scalar quantities. The consistency conditions are worked out in a transparent way. We discuss their various subcases in detail and focus in particular on models with higher symmetries within the class of expanding spatially inhomogeneous LRS models, via a consideration of functional dependences between the dynamical variables.

PACS numbers: 0420, 0420J, 9760, 9880H

Print publication: Issue 5 (May 1996)
Received 18 October 1995, in final form 9 February 1996

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