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APS » Journals » Phys. Rev. Lett. » Volume 80 » Issue 1
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Phys. Rev. Lett. 80, 14–17 (1998)

Canonical Quantization of Cylindrical Gravitational Waves with Two Polarizations

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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

Received 5 May 1997; published in the issue dated 5 January 1998

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.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.14
DOI:
10.1103/PhysRevLett.80.14
PACS:
04.60.Ds, 04.30.-w, 04.60.Kz

*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

 
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