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Phys. Rev. D 71, 104028 (2005) [13 pages]

Improved analysis of black hole formation in high-energy particle collisions

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

Vyacheslav S. Rychkov
Insituut voor Theoretische Fysica, Universiteit van Amsterdam, Valckenierstraat 65, 1018XE Amsterdam, The Netherlands

See Also: Erratum

Received 22 March 2005; published 20 May 2005

We investigate formation of an apparent horizon (AH) in high-energy particle collisions in four- and higher-dimensional general relativity, motivated by TeV-scale 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 66 044011 (2002) and by one of us and Nambu Phys. Rev. D 67 024009 (2003), we are able to improve the prefactor estimates. The black hole production cross section increases by 40%–70% in the higher-dimensional cases, indicating larger black hole production rates in future-planned 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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.71.104028
DOI:
10.1103/PhysRevD.71.104028
PACS:
04.70.−s, 04.20.Ex, 04.50.+h, 11.25.−w

*Electronic address: yoshino@gravity.phys.nagoya-u.ac.jp

Electronic address: rychkov@science.uva.nl

See Also

Erratum: Hirotaka Yoshino and Vyacheslav S. Rychkov, Erratum: Improved analysis of black hole formation in high-energy particle collisions [Phys. Rev. D 71, 104028 (2005)], Phys. Rev. D 77, 089905 (2008).