Abstract
A representation in the form of the Faddeev-Popov path integral is constructed for solving the equations of quantum geometrodynamics (QGD). It is shown that QGD is equivalent to canonical quantization of gravity in a unitary gauge. Given the state of the gravitational field on the initial Cauchy hypersurface, a wave function of closed universe is constructed so that it satisfies the QGD equations. Using the principles of canonical quantization, a probabilistic interpretation of this wave function is constructed in a fashion close to Everett's concepts of quantum mechanics.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 37–51, March, 1986.
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Barvinskii, A.O., Ponomarev, V.N. Canonical quantization of gravity and quantum geometrodynamics. Soviet Physics Journal 29, 187–199 (1986). https://doi.org/10.1007/BF00891880
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DOI: https://doi.org/10.1007/BF00891880