Kerr metric as an exact solution for unpolarized S1xS2 Gowdy models

Unpolarized Gowdy models are inhomogeneous cosmological models that depend on time and one spatial variable with complicated nonlinear equations of motion. There are three topologies associated with these models: T3 (three-torus), S1xS2 and S3. The T3 models have been used for numerical studies because it seems to be difficult to find analytic solutions to their nonlinear Einstein equations. The S1xS2 models have even more complicated equations, but at least one family of analytic solutions can be given as a reinterpretation of known solutions. Various properties of this family of solutions are studied