Integrability conditions for a gravitational theory with nonmetric connection.

Details Integrability conditions for a gravitational theory with nonmetric connection. Integrability conditions for a gravitational theory with nonmetric connection.

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..279f&link_type=abstract

General Relativity and Gravitation, Volume 12, Issue 4, pp.279-286

Physics

1

Gravitation Theory

Scientific paper

In the framework of a new gravitational theory with nonmetric connection recently introduced by one of us (J. K.), it is shown that the matter stress tensors satisfy a certain identity, which, via the contracted Bianchi identities, turns out to be a formal integrability condition for the gravitational field equations. The conservation law for the Hilbert tensor is also discussed.

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