Everywhere invariant spaces of metrics and isometries.

Details Everywhere invariant spaces of metrics and isometries. Everywhere invariant spaces of metrics and isometries.

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18.1093s&link_type=abstract

General Relativity and Gravitation, Volume 18, Issue 11, pp.1093-1103

Physics

1

General Relativity:Space-Time

Scientific paper

We define an everywhere invariant space of metricsU to be one for which the set of diffeomorphisms, which leaveU invariant, contains all the isometries of the individual metrics inU. We also generalize Killing's equation to a new equation, the invariance equation, which has as solutions those vector fields which leaveU invariant. By combining these ideas we give a new method for finding the isometries of a given metric.

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