Midi-Superspace Quantization of Non-Compact Toroidally Symmetric Gravity

Details Midi-Superspace Quantization of Non-Compact Toroidally Symmetric Gravity Midi-Superspace Quantization of Non-Compact Toroidally Symmetric Gravity

1998-01-29

arxiv.org/abs/gr-qc/9801107v1

Adv.Theor.Math.Phys.2:471-495,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, LaTeX

Scientific paper

We consider the quantization of the midi-superspace associated with a class of spacetimes with toroidal isometries, but without the compact spatial hypersurfaces of the well-known Gowdy models. By a symmetry reduction, the phase space for the system at the classical level can be identified with that of a free massless scalar field on a fixed background spacetime, thereby providing a simple route to quantization. We are then able to study certain non-perturbative features of the quantum gravitational system. In particular, we examine the quantum geometry of the asymptotic regions of the spacetimes involved and find some surprisingly large dispersive effects of quantum gravity.

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