Self-similar symmetry in general relativity.

Details Self-similar symmetry in general relativity. Self-similar symmetry in general relativity.

Sep 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993gregr..25..865p&link_type=abstract

Gen. Relativ. Gravitation, Vol. 25, No. 9, p. 865 - 880

Physics

11

Scientific paper

Self-similar symmetry in relativity generalizes the notion of similarity of classical hydrodynamics. This symmetry is more general than homothetic Killing symmetry and conformal Killing symmetry. This paper presents a simple covariant characterization of self-similarity, for the case of spherical distributions of matter. The matter is represented by a general viscous fluid with non-vanishing shear and no heat conduction. The characterization applies to self-similarity of the type 1 as well as of type 2, and extends previous results in the literature. The shear-free case is also discussed.

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