Dynamics of Pressure-Free Matter in General Relativity
- 1 May 1967
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 8 (5) , 1171-1194
- https://doi.org/10.1063/1.1705331
Abstract
An orthonormal tetrad system and associated coordinate system is obtained, which may be used to locally describe any dust‐filled space‐time. This is used to study dust‐filled spaces in which there exist multiply transitive groups of motions; all such spaces are classified in detail. Spaces containing shear‐free dust are also considered; it is shown that σ = 0 ⇒ ωΘ = 0. Three classes of solution with σ = 0, ω ≠ 0 are studied. Several new solutions of the field equations are contained in these results.Keywords
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