Functional Description of S1 × S2 and S3 Gowdy Cosmologies Articles uri icon

publication date

  • November 2009

start page

  • 12010


  • 1


  • 175

International Standard Serial Number (ISSN)

  • 1742-6588

Electronic International Standard Serial Number (EISSN)

  • 1742-6596


  • After a suitable gauge fixing, the local gravitational degrees of freedom of theGowdy S1 × S2 and S3 cosmologies are encoded in an axisymmetric field onthe sphere S2. Recently, it has been shown that a standard field parametrizationof these reduced models admits no Fock quantization with a unitary dynamics.This lack of unitarity is surpassed by a convenient redefinition of the fieldand the choice of an adequate complex structure. The result is a Fockquantization where both the dynamics and the SO(3)-symmetries of the fieldequations are unitarily implemented. The present work proves that this Fockrepresentation is in fact unique inasmuch as, up to equivalence, there exists noother possible choice of SO(3)-invariant complex structure leading to a unitaryimplementation of the time evolution.