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Phys. Rev. D 66, 065004 (2002) [4 pages]

High-energy head-on collisions of particles and the hoop conjecture

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Hirotaka Yoshino* and Yasusada Nambu
Department of Physics, Graduate School of Science, Nagoya University, Chikusa, Nagoya 464-8602, Japan

Received 18 April 2002; published 19 September 2002

We investigate the apparent horizon formation for high-energy head-on collisions of particles in D-dimensional spacetime. The apparent horizons formed before the instant of collision are obtained analytically. We apply the D-dimensional hoop conjecture to these solutions and show that the horizon formation becomes more difficult for larger D.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.66.065004
DOI:
10.1103/PhysRevD.66.065004
PACS:
11.10.Kk, 04.20.Cv, 04.50.+h, 04.70.Bw

*Electronic address: hyoshino@allegro.phys.nagoya-u.ac.jp

Electronic address: nambu@allegro.phys.nagoya-u.ac.jp