Homothety groups in spacetime
Abstract
This paper investigates spacetimes which admit anrdimensional 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 spacetimes are also given and the maximum dimension of this latter algebra is computed and corrects an earlier error.
 Publication:

General Relativity and Gravitation
 Pub Date:
 April 1990
 DOI:
 10.1007/BF00756152
 Bibcode:
 1990GReGr..22..457H