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Classical Black Hole Production in High-Energy Collisions

Douglas M. Eardley·Steven B. Giddings
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Abstract

We investigate 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 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.

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Douglas M. Eardley, Steven B. Giddings. 2002-04-19. Classical Black Hole Production in High-Energy Collisions. https://doi.org/10.1103/physrevd.66.044011

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