28 citations · 35 across the 4 of their papers we have counts for
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A black hole with no marginally trapped tube asymptotic to its event horizon
Catherine Williams
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 con…
On blow-up solutions of the Jang equation in spherical symmetry
Catherine Williams
We prove some related results concerning blow-up solutions for the Jang equation. First: it has been shown that, given an outermost marginally outer trapped surface (MOTS) Σ, there…
Marginally trapped tubes generated from nonlinear scalar field initial data
Catherine Williams
We show that the maximal future development of asymptotically flat spherically symmetric black hole initial data for a self-gravitating nonlinear scalar field, also called a Higgs…
Asymptotic Behavior of Spherically Symmetric Marginally Trapped Tubes
Catherine Williams
We give conditions on a general stress-energy tensor T_{αβ} in a spherically symmetric black hole spacetime which are sufficient to guarantee that the black hole will contain a (sp…