Henk van Elst and George F R Ellis 1996 Class. Quantum Grav. 13 1099 doi:10.1088/0264-9381/13/5/023
The covariant approach to LRS perfect fluid spacetime geometries
Henk van Elst
and George F R Ellis,
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
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04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
- MSC
- Subjects
- Dates
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Issue 5 (May 1996)
Received 18 October 1995, in final form 9 February 1996
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The covariant approach to LRS perfect fluid spacetime geometries
Henk van Elst and George F R Ellis 1996 Class. Quantum Grav. 13 1099
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