The holonomy group in general relativity and the determination ofg ij fromT i j

Details The holonomy group in general relativity and the determination ofg ij fromT i j The holonomy group in general relativity and the determination ofg ij fromT i j

Mar 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..313i&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 3, pp.313-323

Computer Science

8

Scientific paper

We prove a relativistic version of deRham's theorem and use it to find the holonomy group of a large class of space-times. We also show that the concept of “energy content” needed above completely determinesg ij under suitable assumptions. Thus it brings us closer to a theorem that will express Mach's principle in general relativity.

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