Generalized geometries and scalar tensor theories

Details Generalized geometries and scalar tensor theories Generalized geometries and scalar tensor theories

Jun 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..517i&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 6, pp.517-525

Physics

Scientific paper

Those generalized geometries satisfying the conditions that (a) parallel transfer with respect to the connection ▽ is path independent and (b) the geodesics of the metricg have the same trajectories as the autoparallels of the connection ▽, are determined. Some uniqueness theorems of the metric in terms of the curvature are shown for such generalized geometries. Geometries of this type may be useful for constructing geometrized theories of gravitation more general than Einstein's theory.

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