2014/06/16 by Benjamin K. Tippett, Ivan Booth · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Boundary (topology) #Classical mechanics #Classification of discontinuities #Computer science #Cosmology and Gravitation Theories #Event (particle physics) #Event horizon #Extremal black hole #Function (biology) #Gravitational singularity #Horizon #Mathematical analysis #Mathematical physics #Mathematics #Membrane paradigm #Null (SQL) #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Space (punctuation) #Spacetime #gr-qc
paper · pdf · doi:10.1103/physrevd.90.084027
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 90(8) (American Physical Society) · 15 pages, many figures, RevTex format
arxiv created 2014/06/16 · openalex publication_date 2014/10/15 · arxiv updated 2014/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We examine the causal and geometric horizons of dynamical black holes in Lemaitre-Tolman-Bondi collapsing dust spacetimes. Marginally trapped tubes in these spacetimes may be spacelike, timelike or null and may also be sourced from or disappear into shell-crossing singularities which we resolve with (timelike) shock waves. The event horizon kinks when it intersects a shock wave. We calculate the timelike separation between the crossable boundary (marginally trapped tubes plus connecting shock waves) and event horizon. As measured along the crossable boundary this function can have discontinuities not only in its derivative but also in the function itself. These features are closely related to the geometry of the crossable boundary. Finally, we consider the application of this work for future space explorers seeking to make the closest (nonterminal) approach to a black hole horizon.