Canonical Quantization of Cylindrical Gravitational Waves with Two Polarizations

D. Korotkin; H. Samtleben

doi:10.1103/PhysRevLett.80.14

Canonical Quantization of Cylindrical Gravitational Waves with Two Polarizations

D. Korotkin and H. Samtleben

Phys. Rev. Lett. 80, 14 – Published 5 January 1998

Abstract

The canonical quantization of the minisuperspace 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 nonlinear generalization of the quantization of the collinearly polarized Einstein-Rosen gravitational waves.

Received 5 May 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.14

Authors & Affiliations

D. Korotkin^*

II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, D-22761 Hamburg, Germany

H. Samtleben^†

Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Schlaatzweg 1, D-14473 Potsdam, Germany

^*On leave of absence from Steklov Mathematical Institute, Fontanka, 27, St. Petersburg 191011 Russia.Present address: Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Schlaatzweg 1, D-14473 Potsdam, Germany.Electronic address: korotkin@aei-potsdam.mpg.de
^†Electronic address: henning@aei-potsdam.mpg.de