Black holes from high-energy beam-beam collisions

Using a recent technique, proposed by Eardley and Giddings, we extend their results to the high-energy collision of two beams of massless particles, i.e. of two finite-front shock waves. Closed (marginally) trapped surfaces can be determined analytically in several cases even for collisions at non-vanishing impact parameter in D ? 4 space-time dimensions. We are able to confirm and extend earlier conjectures by Yurtsever, and to deal with arbitrary axisymmetric profiles, including an amusing case of ``fractal'' beams. We finally discuss some implications of our results in high-energy experiments and in cosmology.

[1]  R. Penrose,et al.  Scattering of Two Impulsive Gravitational Plane Waves , 1971, Nature.

[2]  Pre-big bang bubbles from the gravitational instability of generic string vacua , 1998, hep-th/9806230.

[3]  P. Steinhardt,et al.  The Ekpyrotic universe: Colliding branes and the origin of the hot big bang , 2001, hep-th/0103239.

[4]  Classical black hole production in high-energy collisions , 2002, gr-qc/0201034.

[5]  M. A. Vazquez-Mozo,et al.  Initial Conditions and the Structure of the Singularity in Pre-Big-Bang Cosmology , 2000, hep-th/0002070.

[6]  Transplanckian collisions at the LHC and beyond , 2001, hep-ph/0112161.

[7]  Payne,et al.  Gravitational radiation in black-hole collisions at the speed of light. I. Perturbation treatment of the axisymmetric collision. , 1992, Physical review. D, Particles and fields.

[8]  G. Veneziano.  Mutual focusing of graviton beams , 1987 .

[9]  George F. R. Ellis,et al.  The Large Scale Structure of Space-Time , 2023 .

[10]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[11]  Soldate,et al.  High-energy unitarity of gravitation and strings. , 1988, Physical review. D, Particles and fields.

[12]  D. Amati,et al.  Can spacetime be probed below the string size , 1989 .

[13]  M. B. Voloshin.  Semiclassical suppression of black hole production in particle collisions , 2001 .

[14]  Savas Dimopoulos,et al.  The Hierarchy problem and new dimensions at a millimeter , 1998, hep-ph/9803315.

[15]  D. Amati,et al.  Superstring collisions at planckian energies , 1987 .

[16]  G. Hooft,et al.  The gravitation effect of colliding planar shells of matter , 1986 .

[17]  D. Amati,et al.  CLASSICAL AND QUANTUM GRAVITY EFFECTS FROM PLANCKIAN ENERGY SUPERSTRING COLLISIONS , 1988 .

[18]  L. Randall,et al.  A Large mass hierarchy from a small extra dimension , 1999, hep-ph/9905221.

[19]  G. Landsberg,et al.  Black holes at the Large Hadron Collider. , 2001 .

[20]  M. Voloshin.  More remarks on suppression of large black hole production in particle collisions , 2001, hep-ph/0111099.

[21]  V. Ferrari,et al.  Beam-like gravitational waves and their geodesies , 1988 .

[22]  L. Randall,et al.  An Alternative to compactification , 1999, hep-th/9906064.

[23]  S. Giddings.  Black hole production in TeV-scale gravity, and the future of high energy physics , 2001, hep-ph/0110127.

[24]  Nathan Seiberg,et al.  From big crunch to big bang , 2002 .

[25]  P. Aichelburg,et al.  On the gravitational field of a massless particle , 1971 .

[26]  Scott D. Thomas,et al.  High-energy colliders as black hole factories: The End of short distance physics , 2001, hep-ph/0106219.

[27]  G. Hooft.  Graviton dominance in ultra-high-energy scattering , 1987 .

[28]  G. Hooft,et al.  The gravitational shock wave of a massless particle , 1985 .

[29]  Payne,et al.  Gravitational radiation in black-hole collisions at the speed of light. II. Reduction to two independent variables and calculation of the second-order news function. , 1992, Physical review. D, Particles and fields.

[30]  P. Szekeres.  Colliding plane gravitational waves. , 1972 .

[31]  Payne,et al.  Gravitational radiation in black-hole collisions at the speed of light. III. Results and conclusions. , 1992, Physical review. D, Particles and fields.

[32]  String Cosmology: The pre-Big Bang Scenario , 2000, hep-th/0002094.