Costa De Beauregard, O.
(1992)
*Quantization of gravity.*
Accademia Peloritana dei Pericolanti Classe FF.MM.NN., 70.
pp. 5-21.

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## Abstract

We show that, in the Riemannian theory of gravity, the superpotential of the Riemann-Christoffel tensor (the existence of wich stems from the Bianchi identities)is none else than the tensor generalization of Poisson's potential, the source of wich is the "material tensor" Endowing then the gravition with a rest mass we see that add to and is thus interpretable as an energy monumentum density of the gravity field. This allows us to quantize the coupled massive gravition and Proca or Kemmer spin 0 particle fields, by extending into Riemannian geometry the procedure Schwinger used in quantum electrodynamics. Finally, Einstein's gravity tensor is equated to the mean value of the total energy-momentum density; denotes the canonical energy-momentum ensity, which is symmetric in the absence of an electromagnetic field.

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