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arXiv · gr-qc/9808058

Rigid Singularity Theorem in Globally Hyperbolic Spacetimes

Makoto Narita
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Abstract

We show the rigid singularity theorem, that is, a globally hyperbolic spacetime satisfying the strong energy condition and containing past trapped sets, either is timelike geodesically incomplete or splits isometrically as space $\times$ time. This result is related to Yau's Lorentzian splitting conjecture.

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BibTeXRIS

Makoto Narita. 1998-08-21. Rigid Singularity Theorem in Globally Hyperbolic Spacetimes. https://doi.org/10.1103/physrevd.58.127501

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