An exact anisotropic solution of the Einstein-Liouville equations

Details An exact anisotropic solution of the Einstein-Liouville equations An exact anisotropic solution of the Einstein-Liouville equations

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15..931e&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 15, Oct. 1983, p. 931-944.

Physics

30

Anisotropy, Einstein Equations, Liouville Equations, Relativistic Theory, Space-Time Functions, Collisions, Distribution Functions, Harmonic Analysis

Scientific paper

A family of exact solutions of the Einstein-Liouville equations are presented, in which the space-time geometry is that of a k = 0 or k = + 1 Robertson-Walker space-time but the particle distribution function is anisotropic (and can be inhomogeneous). In some of these solutions, the fluid average (barycentric) velocity is not the timelike eigenvector of the fluid stress tensor. Then a 'fundamental observer' moving with the average (barycentric) velocity will not observe these universes to be isotropic.

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