Canonical quantization of cylindrical gravitational waves with two polarizations

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.

8 pages, LaTeX2e

References in corpus (3)

• Large quantum gravity effects: Unexpected limitations of the classical theory
• Canonical Quantization of the Gowdy Model
• Poisson Realization and Quantization of the Geroch Group

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