A black hole with no marginally trapped tube asymptotic to its event horizon

Abstract

We construct an example of a spherically symmetric black hole interior in which there is NO (spherically symmetric) marginally trapped tube asymptotic to the event horizon. The construction uses a self-gravitating massive scalar field matter model, and the key condition we impose is that the scalar field $\varphi$ be bounded below by a positive constant along the event horizon.

12 pages; to appear in the Proceedings of the Complex Analysis & Dynamical Systems IV Conference (Nahariya, Israel, May 2009)