Classical Black Hole Production in High-Energy Collisions

Details Classical Black Hole Production in High-Energy Collisions Classical Black Hole Production in High-Energy Collisions

2002-01-10

arxiv.org/abs/gr-qc/0201034v2

Phys.Rev. D66 (2002) 044011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 1 figure, RevTeX4. v2: references and acknowledgements updated

Scientific paper

10.1103/PhysRevD.66.044011

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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