Hoop conjecture and the horizon formation cross section in Kaluza-Klein spacetimes
- Asia Pacific Center for Theoretical Physics, Pohang University of Science and Technology, Pohang 790-784 (Korea, Republic of)
- Department of Mathematics and Physics, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi, Osaka 558-8585 (Japan)
- Yukawa Institute for Theoretical Physics, Kyoto University Kyoto 606-8502 (Japan)
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 an 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.
- OSTI ID:
- 21409083
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 81, Issue 2; Other Information: DOI: 10.1103/PhysRevD.81.024020; (c) 2010 The American Physical Society; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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