Evolution Operators for Linearly Polarized Two-Killing Cosmological Models

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.

Accepted for publication in Physical Review D

References in corpus (1)

• Quantum Gowdy $T^3$ model: A unitary description

Cited by in corpus (6)

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• Hamiltonian Dynamics of Linearly Polarized Gowdy Models Coupled to Massless Scalar Fields
• Unitary evolution of free massless fields in de Sitter space-time
• Schrodinger quantization of linearly polarized Gowdy $S^1\times S^2$ and $S^3$ models coupled to massless scalar fields
• Quantum Einstein-Rosen waves: Coherent states and n-point functions