Homothetic motions in general relativity

Details Homothetic motions in general relativity Homothetic motions in general relativity

Feb 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..199m&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 2, pp.199-213

Computer Science

44

Scientific paper

Properties of homothetic or self-similar motions in general relativity are examined with particular reference to vacuum and perfect-fluid space-times. The role of the homothetic bivector with components H [a;b] formed from the homothetic vector H is discussed in some detail. It is proved that a vacuum space-time only admits a nontrivial homothetic motion if the homothetic vector field is non-null and is not hypersurface orthogonal. As a subcase of a more general result it is shown that a perfect-fluid space-time cannot admit a nontrivial homothetic vector which is orthogonal to the fluid velocity 4-vector.

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