Hoop Conjecture and the Horizon Formation Cross-Section in Kaluza-Klein Spacetimes
arXiv:0906.0689 · doi:10.1103/PhysRevD.81.024020
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.
25 pages, 7 figures, PRD accepted version
References in corpus (36)
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- A rotating black ring in five dimensions
- Black Holes at the LHC
- High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
- Black Holes in Higher Dimensions
- Black Holes and Sub-millimeter Dimensions
- Black Hole Production by Cosmic Rays
- Black Holes from Cosmic Rays: Probes of Extra Dimensions and New Limits on TeV-Scale Gravity
- Black hole formation in the grazing collision of high-energy particles
- A generalization of Hawking's black hole topology theorem to higher dimensions
- Rotating black holes at future colliders: Greybody factors for brane fields
- Improved analysis of black hole formation in high-energy particle collisions
- On the topology and area of higher dimensional black holes
- Kaluza-Klein Black Holes with Squashed Horizons
- Rotating black holes at future colliders II: Anisotropic scalar field emission
- Rotating Black Holes at Future Colliders. III. Determination of Black Hole Evolution
- Black Holes at the LHC
- Kaluza-Klein Multi-Black Holes in Five-Dimensional Einstein-Maxwell Theory
- Black Holes on Eguchi-Hanson Space in Five-Dimensional Einstein-Maxwell Theory
- Isoperimetric inequality for higher-dimensional black holes
- Charged Rotating Kaluza-Klein Black Holes in Five Dimensions
- Charged Black Holes in a Rotating Gross-Perry-Sorkin Monopole Background
- Squashed Kerr-Godel Black Holes - Kaluza-Klein Black Holes with Rotations of Black Hole and Universe -
- Mass and Thermodynamics of Kaluza-Klein Black Holes with Squashed Horizons
- Topology Change of Coalescing Black Holes on Eguchi-Hanson Space
- Close-limit analysis for head-on collision of two black holes in higher dimensions: Brill-Lindquist initial data
- Charged Rotating Kaluza-Klein Black Holes Generated by G2(2) Transformation
- Thermodynamics of Squashed Kaluza-Klein Black Holes and Black Strings -- A Comparison of Reference Backgrounds --
- Cosmological Black Holes on Taub-NUT space in Five-Dimensional Einstein-Maxwell Theory
- Mass and Free energy in Thermodynamics of Squashed Kaluza-Klein Black Holes
- Coalescence of Rotating Black Holes on Eguchi-Hanson Space
- Geometric Inequalities and Trapped Surfaces in Higher Dimensional Spacetimes
- Hoop Conjecture in Five-dimensios -Violation of Cosmic Censorship-
- Horizons of Coalescing Black Holes on Eguchi-Hanson Space
- Analyticity of Event Horizons of Five-Dimensional Multi-Black Holes with Non-Trivial Asymptotic Structure
Cited by in corpus (6)
- Binary neutron-star mergers: a review of Einstein's richest laboratory
- Black-hole production from ultrarelativistic collisions
- Black holes and the LHC: A review
- More about Birkhoff's Invariant and Thorne's Hoop Conjecture for Horizons
- Three little pieces for computer and relativity
- Initial data for a black string and a Kaluza-Klein bubble: Space-dependent compactification radius