ON THE EQUIVALENCE OF THE RELATIVISTIC THEORIES OF GRAVITATION
1982Citations per year
Abstract: (Springer)
Einstein's equations are rewritten in terms of a certain torsionless linear connection Γαβμ which differs, in general, from the Levi-Civita metric connection γαβμ. The torsionless connection Γαβμ 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 Γαβμ. The equivalence of the so-calledpurely metric, purely affine, andmetricaffine theories of gravitation is proved.- general relativity
- GRAVITATION
- Einstein equation
- FIELD THEORY: FIBRE BUNDLE
- TENSOR: ENERGY-MOMENTUM
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