Classical black hole production in high-energy collisions
Jan, 200216 pages
Published in:
- Phys.Rev.D 66 (2002) 044011
e-Print:
- gr-qc/0201034 [gr-qc]
Report number:
- NSF-ITP-02-01
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Abstract: (arXiv)
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.- 04.70.Dy
- 13.85.Qk
- 14.80.-j
- 11.10.Kk
- black hole: production
- any-dimensional
- boundary condition
- cross section: classical
- black hole: mass
- horizon
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