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The Covariant Approach to LRS Perfect Fluid Spacetime Geometries

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arxiv gr-qc/9510044 v1 pith:747SXTVG submitted 1995-10-23 gr-qc astro-ph

classification gr-qcastro-ph
keywords fluidspacetimeapproachcovariantdynamicalgeometriesmodelsperfect
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abstract

The dynamics of perfect fluid spacetime geometries which exhibit {\em 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 dependencies between the dynamical variables.

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Cited by 2 Pith papers

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