Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-11-12
Class.Quant.Grav.25:085002,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Final version to appear in Classical and Quantum Gravity
Scientific paper
10.1088/0264-9381/25/8/085002
The purpose of this paper is to study in detail the problem of defining unitary evolution for linearly polarized S^1 x S^2 and S^3 Gowdy models (in vacuum or coupled to massless scalar fields). We show that in the Fock quantizations of these systems no choice of acceptable complex structure leads to a unitary evolution for the original variables. Nonetheless, unitarity can be recovered by suitable redefinitions of the basic fields. These are dictated by the time dependent conformal factors that appear in the description of the standard deparameterized form of these models as field theories in certain curved backgrounds. We also show the unitary equivalence of the Fock quantizations obtained from the SO(3)-symmetric complex structures for which the dynamics is unitarily implemented.
Barbero Fernando J. G.
Vergel Daniel Gómez
Villaseñor Eduardo J. S.
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