1995/10/23 by Henk van Elst, George F R Ellis · 1 citation
Physics and Astronomy · #astro-ph #gr-qc
paper · pdf · doi:10.1088/0264-9381/13/5/023
published as Class.Quant.Grav. 13 (1996) 1099-1128 · 25 pages, uuencoded/compressed postscript file
arxiv created 1995/10/23 · arxiv updated 2009/11/30
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.