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

Jeronimo Cortez, Guillermo A. Mena Marugan, Jose M. Velhinho

After 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…