Uniqueness of the Fock representation of the Gowdy $S^1\times S^2$ and $S^3$ models

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dc.creatorCortez, Jeronimo
dc.creatorMarugan, Guillermo A. Mena
dc.creatorVelhinho, Jose M.
dc.date2008-02-22
dc.date2008-04-30
dc.date.accessioned2026-07-07T11:40:26Z
dc.date.available2026-07-07T11:40:26Z
dc.descriptionAfter a suitable gauge fixing, the local gravitational degrees of freedom of the Gowdy $S^1\times S^2$ and $S^3$ cosmologies are encoded in an axisymmetric field on the sphere $S^2$. Recently, it has been shown that a standard field parametrization of these reduced models admits no Fock quantization with a unitary dynamics. This lack of unitarity is surpassed by a convenient redefinition of the field and the choice of an adequate complex structure. The result is a Fock quantization where both the dynamics and the SO(3)-symmetries of the field equations are unitarily implemented. The present work proves that this Fock representation is in fact unique inasmuch as, up to equivalence, there exists no other possible choice of SO(3)-invariant complex structure leading to a unitary implementation of the time evolution.
dc.description10 pages, minor changes, version accepted for publication in Classical and Quantum Gravity
dc.identifierhttps://arxiv.org/abs/0802.3338
dc.identifierhttp://arxiv.org/abs/0802.3338
dc.identifierClass.Quant.Grav.25:105005,2008
dc.identifierdoi:10.1088/0264-9381/25/10/105005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200256
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleUniqueness of the Fock representation of the Gowdy $S^1\times S^2$ and $S^3$ models
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