Quantization of weak gravitational waves in a closed Fridman model
Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 3, pp. 399-411 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of quantization of free tensor fields in a curved space-time is considered for the example of quantization of weak gravitational waves. The distinctive feature of quantization in a curved space-time is the violation of the homogeneity of time by the expansion of the Universe and the related nonconservation of energy. This last circumstance means that s is impossible to construct a “good” Hamiltonian. The problem can be resolved because of the spatiai homogeneity and the associated integral conservation law.
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A. A. Lyubushin. Quantization of weak gravitational waves in a closed Fridman model. Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 3, pp. 399-411. http://geodesic.mathdoc.fr/item/TMF_1972_10_3_a7/

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