For globally hyperbolic spacetimes, the directed completion of the causal order coincides with the Geroch-Kronheimer-Penrose future causal completion, and the completion of Kruskal-Szekeres spacetime is explicitly characterized.
Complete analytic extension of the symmetry axis of Kerr’s solution of Ein- stein’s equations
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Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime
For globally hyperbolic spacetimes, the directed completion of the causal order coincides with the Geroch-Kronheimer-Penrose future causal completion, and the completion of Kruskal-Szekeres spacetime is explicitly characterized.