Recollapsing spacetimes with $\Lambda <0$

David Fajman, Maximilian Kraft

We show that any homogeneous initial data set with $\Lambda <0$ on a product 3-manifold of the orthogonal form $(F\times {\mathbb{S}}^1,a_0^{2}d{z}^2+b_0^2{\sigma }^2,c_{0}d{z}^2+d_0\sigma )$, where $(F,\sigma )$ is a…