| Hoop Conjecture and the Horizon Formation Cross-Section in Kaluza-Klein Spacetimes (2009) | |||||||||
Abstract | |||||||||
| We analyze momentarily static initial data sets of the gravitational field produced by two-point sources in five-dimensional Kaluza-Klein spacetimes which are characterized by mass, separation of sources, and size of a extra dimension. Using these initial data sets, we discuss a condition for black hole formation, and propose a new conjecture which is a hybrid of four-dimensional hoop conjecture and five-dimensional hyperhoop conjecture. By using the new conjecture, we estimate the cross-section of black hole formation by collisions of particles in Kaluza-Klein spacetimes. We show that the mass dependence of the cross-section gives us the information of the size and numbers of compactified extra dimensions.. Comment: 25 pages, 7 figures | |||||||||
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