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arXiv · gr-qc/9510044

The Covariant Approach to LRS Perfect Fluid Spacetime Geometries

Henk van Elst·George F R Ellis
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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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Henk van Elst, George F R Ellis. 1995-10-23. The Covariant Approach to LRS Perfect Fluid Spacetime Geometries. https://doi.org/10.1088/0264-9381%2F13%2F5%2F023

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