Einstein spaces and homothetic motions. I

Details Einstein spaces and homothetic motions. I Einstein spaces and homothetic motions. I

Jan 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980jmp....21..120h&link_type=abstract

Journal of Mathematical Physics, Volume 21, Issue 1, pp. 120-128 (1980).

Mathematics

Mathematical Physics

10

Classical General Relativity

Scientific paper

Algebraically special, nonflat vacuum Einstein spaces with an expanding and/or twisting geodesic principal null congruence are considered. These spaces are assumed to possess locally a homothetic symmetry as well as two or more Killing vectors. All metrics of such spaces are determined along with the form of the homothetic Killing vector admitted. All but one of the metrics are twist free. It is proved that two of the NUT metrics do not admit a homothetic motion.

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