On the equivalence of the relativistic theories of gravitation.

Details On the equivalence of the relativistic theories of gravitation. On the equivalence of the relativistic theories of gravitation.

Feb 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14..165f&link_type=abstract

General Relativity and Gravitation, Volume 14, Issue 2, pp.165-180

Physics

34

Gravitation Theory

Scientific paper

Einstein's equations are rewritten in terms of a certain torsionless linear connection Γα βμ which differs, in general, from the Levi-Civita metric connection γα βμ. The torsionless connection Γα βμ appears in a natural way as the canonical momentum of the gravitational field gμν . Einstein's equations have a simple interpretation in terms of the connection Γα βμ. The equivalence of the so-calledpurely metric, purely affine, andmetricaffine theories of gravitation is proved.

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