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Evolution Operators for Linearly Polarized Two-Killing Cosmological Models

J. Fernando Barbero G., Daniel Gómez Vergel, Eduardo J. S. Villaseñor

gr-qcarXiv:gr-qc/0606068

Abstract

We give a general procedure to obtain non perturbative evolution operators in closed form for quantized linearly polarized two Killing vector reductions of general relativity with a cosmological interpretation. We study the representation of these operators in Fock spaces and discuss in detail the conditions leading to unitary evolutions.

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