Shear-free normal cosmological models
- 1 February 1989
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 30 (2) , 433-441
- https://doi.org/10.1063/1.528462
Abstract
Shear-free normal cosmological models are the perfect fluid solutions of Einstein’s equations in which rotation and shear vanish, and which are not static [they were all found by A. Barnes, Gen. Relativ. Gravit. 4, 105 (1973)]. They are either spherically, plane, or hyperbolically symmetric. Their symmetries are discussed in various coordinate systems and related to the conformal group of the three-dimensional flat space. A coordinate representation is introduced which unites all three cases into a single two-parameter family. The limiting transitions to the Friedman–Lemaitre–Robertson–Walker (FLRW) models and to the Schwarzschild–de Sitter-like solutions are presented.Keywords
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