Some remarks on marginally trapped surfaces and geodesic incompleteness

• Published in: arXiv.org
• Main Author: I P Costa e Silva
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 12.06.2012
• Subjects: Black holes; Datasets; Existence theorems; Geodesy; Spacetime

In a recent paper, Eichmair, Galloway and Pollack have proved a Gannon-Lee-type singularity theorem based on the existence of marginally outer trapped surfaces (MOTS) on noncompact initial data sets for globally hyperbolic spacetimes. However, one might wonder whether the corresponding incomplete ge...