The covariant approach to LRS perfect fluid spacetime geometries
- 1 May 1996
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 13 (5) , 1099-1127
- https://doi.org/10.1088/0264-9381/13/5/023
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.Keywords
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