2010/05/28 by Catherine Williams, Williams, Catherine
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory #gr-qc #math.DG
paper · pdf · doi:10.48550/arxiv.1005.5401
12 pages; to appear in the Proceedings of the Complex Analysis & Dynamical Systems IV Conference (Nahariya, Israel, May 2009)
arxiv created 2010/05/28 · openalex publication_date 2010/05/28 · arxiv updated 2010/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 ϕ be bounded below by a positive constant along the event horizon.