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Canonical quantization of cylindrical gravitational waves with two polarizations

D. Korotkin·H. Samtleben
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Abstract

The canonical quantization of the essentially nonlinear midisuperspace model describing cylindrically symmetric gravitational waves with two polarizations is presented. A Fock space type representation is constructed. It is based on a complete set of quantum observables. Physical expectation values may be calculated in arbitrary excitations of the vacuum. Our approach provides a non-linear generalization of the quantization of the collinearly polarized Einstein-Rosen gravitational waves.

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D. Korotkin, H. Samtleben. 1997-05-06. Canonical quantization of cylindrical gravitational waves with two polarizations. https://doi.org/10.1103/physrevlett.80.14

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