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    The surgically altered manifold with the restricted metri... — Carmelics
    Home/Modality & Possibility
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    Supports→An isometry between neighborhoods of spacelike hypersurfaces in two vacuum solutions is not in general extendible to an isometry between their future domains of dependence.

    The surgically altered manifold with the restricted metric is also a solution to the vacuum Einstein equations.

    CausationModality & Possibility
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    Modality & PossibilityCausation

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    An isometry between neighborhoods of spacelike hypersurfaces in two vacuum solut...Starting from any vacuum solution, one can remove a closed set of points lying t...The original and surgically altered solutions share isometric neighborhoods but ...

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    The non-existence of vacuum solutions shows that the metric cannot be ...74%The space problem (das Raumproblem) arises as a genuine philosophical ...73%The ideal process of congruent displacement of spacetime distance used...71%An isometry between neighborhoods of spacelike hypersurfaces in two va...70%

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    The would-be time machine operator need not capitulate in the face of Krasnikov’s theorem. Recall that the main difficulty in specifying the conditions for the successful operation of Thornian time machines traces to the fact that the standard form of causal determinism does not apply to the production of CTCs. But causal determinism can fail for reasons that have nothing to do with CTCs or other acausal features of relativistic spacetimes, and it seems only fair to ensure that these modes of fa

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