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Shear-free normal cosmological models

Journal Article · · J. Math. Phys. (N.Y.); (United States)
OSTI ID:6548805

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.

Research Organization:
N. Copernicus Astronomical Center, Polish Academy of Sciences, Bartycka 18, 00716 Warszawa, Poland
OSTI ID:
6548805
Journal Information:
J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 30:2; ISSN JMAPA
Country of Publication:
United States
Language:
English