Homothetic motions and vacuum Robinson-Trautman solutions

Details Homothetic motions and vacuum Robinson-Trautman solutions Homothetic motions and vacuum Robinson-Trautman solutions

Nov 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990gregr..22.1239s&link_type=abstract

General Relativity and Gravitation, Volume 22, Issue 11, pp.1239-1249

Physics

Scientific paper

The approach to symmetries given by Kerr and Debney (1970) is applied to the class of vacuum Robinson-Trautman solutions. The coordinate freedom is extended and used to define the pull-backs of local diffeomorphisms which are then shown to be homothetic motions. The resulting homothetic Killing's equations are solved to give a form of all homothety groups for this class.

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