Quasi-convergence of Ricci flow for a class of metrics (Q1905832)

The metric \(g = e^Ad \theta^2 + e^f(e^w dx^2 + e^{-w} dy^2)\) which arises from the study of cosmology solutions of the Einstein equations with \(T^2\) symmetry is called Gowdy spacetime. Considering this metric which lives on a solve-twisted torus rather than the torus \(T^3\), the authors compute its Ricci flow \(\partial g_{ij}/\partial t = -2R_{ij}\), and show that the solutions asymptotically approach the Ricci flow of locally homogeneous ones.