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General Relativity and Quantum Cosmology

arXiv:0906.0689 (gr-qc)
[Submitted on 3 Jun 2009 (v1), last revised 20 Jan 2010 (this version, v3)]

Title:Hoop Conjecture and the Horizon Formation Cross-Section in Kaluza-Klein Spacetimes

Authors:Chul-moon Yoo, Hideki Ishihara, Masashi Kimura, Sugure Tanzawa
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Abstract: We analyze momentarily static initial data sets of the gravitational field produced by two-point sources in five-dimensional Kaluza-Klein spacetimes. These initial data sets are characterized by the mass, the separation of sources and the size of a extra dimension. Using these initial data sets, we discuss the condition for black hole formation, and propose a new conjecture which is a hybrid of the four-dimensional hoop conjecture and the five-dimensional hyperhoop conjecture. By using the new conjecture, we estimate the cross section of black hole formation due to collisions of particles in Kaluza-Klein spacetimes. We show that the mass dependence of the cross section gives us information about the size and the number of the compactified extra dimensions.
Comments: 25 pages, 7 figures, PRD accepted version
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Report number: APCTP-Pre2009-004, OCU-PHYS-311, AP-GR-65, YITP-09-33
Cite as: arXiv:0906.0689 [gr-qc]
  (or arXiv:0906.0689v3 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0906.0689
Journal reference: Phys.Rev.D81:024020,2010
Related DOI: https://doi.org/10.1103/PhysRevD.81.024020

Submission history

From: Chul-Moon Yoo [view email]
[v1] Wed, 3 Jun 2009 11:45:52 UTC (136 KB)
[v2] Tue, 9 Jun 2009 04:35:10 UTC (136 KB)
[v3] Wed, 20 Jan 2010 07:13:07 UTC (136 KB)
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