Extension of a compact Lorentz manifold

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Abstract
For a certain geodesically incomplete, compact Lorentz manifold T, we construct an analytic non‐Hausdorff extension in which no geodesic bifurcates. The extension is geodesically incomplete, but is a maximal analytic Lorentz manifold in the sense that any further analytic extension has bifurcating geodesics. We also obtain a maximal analytic Hausdorff extension of the universal covering space of T. The latter extension is geodesically complete.

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