Classical black hole production in high-energy collisions

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 boundaryvalue 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.

High-energy string-brane scattering: leading eikonal and beyond

“…Nonetheless these approximations seem to lead to physically sensible results, at least in terms of identifying semiquantitatively the critical parameters for gravitational collapse and of comparing them with those based on the formation of a trapped surface [20][21][22][23].…”

Hawking emission of gravitons in higher dimensions: non-rotating black holes

“…This is particularly relevant for the phenomenology of black holes in models of low-energy scale gravity [8,9]. Unequivocal detection of subatomic black holes in particle colliders [10] and ultrahigh-energy cosmic ray observatories [11,12] is only possible if a consistent fraction of the initial black hole mass [13,14] is channeled into brane fields.…”

Production of black holes in TeV‐scale gravity

“…1 (right)), as has been convincingly demonstrated in Refs. [27,28,29]. Correspondingly, a geometrical cross-section ≈ π b 2 max is expected, and a lower bound on b max leads to a lower limit of e.g.…”