Rigid Singularity Theorem in Globally Hyperbolic Spacetimes

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.

3 pages, uses revtex.sty, to appear in Physical Review D

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