The volume operator for singly polarized gravity waves with planar or cylindrical symmetry

Details The volume operator for singly polarized gravity waves with planar or cylindrical symmetry The volume operator for singly polarized gravity waves with planar or cylindrical symmetry

2005-11-01

arxiv.org/abs/gr-qc/0511006v2

Phys.Rev. D73 (2006) 124005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Expanded discussion of outlook for future research, in last three paragraphs. Corrected the typo in eq. (3). 12 pages

Scientific paper

10.1103/PhysRevD.73.124005

A previous paper constructed a kinematic basis for spin networks with planar or cylindrical symmetry and arbitrary polarization. This paper imposes a constraint which limits the gravitational wave to a single polarization. The spectrum of the constraint contains a physically reasonable number of zero eigenvalues, and the zero eigenvectors can be constructed explicitly. Commutation of the constraint with the Hamiltonian is expected to lead to a further constraint. This new constraint is not investigated in this paper, but I argue it will be non-local, relating states at two or more neighboring vertices.

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