On the equivalence of the relativistic theories of gravitation |
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Authors: | Marco Ferraris Jerzy Kijowski |
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Institution: | (1) Istituto di Fisica Matematica, Università di Torino, via C. Alberto no. 10, 10123 Torino, Italy;(2) Present address: Institute for Mathematical Methods in Physics, University of Warsaw, ul. Hoza 74, 00-682 Warsaw, Poland |
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Abstract: | Einstein's equations are rewritten in terms of a certain torsionless linear connection
which differs, in general, from the Levi-Civita metric connection
. The torsionless connection
appears in a natural way as the canonical momentum of the gravitational field g
. Einstein's equations have a simple interpretation in terms of the connection
. The equivalence of the so-calledpurely metric, purely affine, andmetricaffine theories of gravitation is proved.This work has been written under the financial support of Gruppo Nazionale per la Fisica Matematica of the Italian National Research Council. |
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Keywords: | |
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