Rigid Singularity Theorem in Globally Hyperbolic Spacetimes

Details Rigid Singularity Theorem in Globally Hyperbolic Spacetimes Rigid Singularity Theorem in Globally Hyperbolic Spacetimes

1998-08-21

arxiv.org/abs/gr-qc/9808058v1

Phys.Rev. D58 (1998) 127501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.58.127501

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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