  Unpolarized Gowdy models are inhomogeneous cosmological models that depend on
time and one spatial variable and have complicated nonlinear equations of
motion. There are two topologies associated with these models, a three-torus
and a one-sphere cross a two-sphere. The three-torus models have been used for
numerical studies because it seems difficult to find analytic solutions to
their nonlinear Einstein equations. The one-sphere cross tow-sphere 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.
