Rigid Singularity Theorem in Globally Hyperbolic Spacetimes
General Relativity and Quantum Cosmology
2009-10-31 v1 Mathematical Physics
math.MP
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 time. This result is related to Yau's Lorentzian splitting conjecture.
Cite
@article{arxiv.gr-qc/9808058,
title = {Rigid Singularity Theorem in Globally Hyperbolic Spacetimes},
author = {Makoto Narita},
journal= {arXiv preprint arXiv:gr-qc/9808058},
year = {2009}
}
Comments
3 pages, uses revtex.sty, to appear in Physical Review D