Classical black hole production in high-energy collisions

2002/01/31 by Douglas M. Eardley, Steven B. Giddings · 17 citations
Mathematics · Physics and Astronomy · #Apparent horizon #Black Holes and Theoretical Physics #Black hole (networking) #Boundary value problem #Charged black hole #Classical mechanics #Collision #Cosmology and Gravitation Theories #Curvature #Event horizon #Extremal black hole #Geometry #Horizon #Mathematics #Noncommutative and Quantum Gravity Theories #Nonsingular black hole models #Penrose process #Physics #Quantum #Quantum mechanics #Semiclassical physics #Space (punctuation) #Spacetime #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.66.044011

published as Phys.Rev. D66 (2002) 044011 · 16 pages, 1 figure, RevTeX4. v2: references and acknowledgements updated

arxiv created 2002/04/19 · openalex publication_date 2002/08/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the classical formation of a D-dimensional black hole in a high-energy collision of two particles. The existence of an apparent horizon is related to the solution of an unusual boundary-value problem for Poisson's equation in flat space. For a sufficiently small impact parameter, we construct solutions giving such apparent horizons in D=4. These supply improved estimates of the classical cross section for black hole production, and of the mass of the resulting black holes. We also argue that a horizon can be found in a region of weak curvature, suggesting that these solutions are valid starting points for a semiclassical analysis of quantum black hole formation.

Citations

• A Model for High Energy Scattering in Quantum Gravity
• Black holes from cosmic rays: Probes of extra dimensions and new limits on TeV-scale gravity
• The Large Scale Structure of Space-Time
• Large Mass Hierarchy from a Small Extra Dimension
• The Hierarchy Problem and New Dimensions at a Millimeter

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