Homothety groups in space-time

Details Homothety groups in space-time Homothety groups in space-time

Apr 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990gregr..22..457h&link_type=abstract

General Relativity and Gravitation, Volume 22, Issue 4, pp.457-468

Statistics

Applications

16

Scientific paper

This paper investigates space-times which admit anr-dimensional Lie algebra of homothetic vector fields at least one of which is proer homothetic. The situation is resolved completely ifr ≥ 6 and some general results are given whenr ≤ 5. Some applications to the study of affine vector fields in space-times are also given and the maximum dimension of this latter algebra is computed and corrects an earlier error.

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