Improved analysis of black hole formation in highenergy particle collisions
Abstract
We investigate formation of an apparent horizon (AH) in highenergy particle collisions in four and higherdimensional general relativity, motivated by TeVscale gravity scenarios. The goal is to estimate the prefactor in the geometric cross section formula for the black hole production. We numerically construct AHs on the future light cone of the collision plane. Since this slice lies to the future of the slice used previously by Eardley and Giddings [Phys. Rev. D, PRVDAQ, 05562821 66, 044011 (2002)], 10.1103/PhysRevD.66.044011 and by one of us and Nambu [Phys. Rev. D, PRVDAQ, 05562821 67, 024009 (2003)], 10.1103/PhysRevD.67.024009, we are able to improve the prefactor estimates. The black hole production cross section increases by 40% 70% in the higherdimensional cases, indicating larger black hole production rates in futureplanned accelerators than previously estimated. We also determine the mass and the angular momentum of the final black hole state, as allowed by the area theorem.
 Publication:

Physical Review D
 Pub Date:
 May 2005
 DOI:
 10.1103/PhysRevD.71.104028
 arXiv:
 arXiv:hepth/0503171
 Bibcode:
 2005PhRvD..71j4028Y
 Keywords:

 04.70.s;
 04.20.Ex;
 04.50.+h;
 11.25.w;
 Physics of black holes;
 Initial value problem existence and uniqueness of solutions;
 Gravity in more than four dimensions KaluzaKlein theory unified field theories;
 alternative theories of gravity;
 Strings and branes;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology
 EPrint:
 28 pages, 14 figures, references and minor comments added