Apparent horizon formation in the head-on collision of gyratons
arXiv:gr-qc/0703127 · doi:10.1103/PhysRevD.75.124005
Abstract
The gyraton model describes a gravitational field of an object moving with the velocity of light which has finite energy and spin distributed during some finite time interval . A gyraton may be considered as a classical toy model for a quantum wave packet of high-energy particles with spin. In this paper we study a head-on collision of two gyratons and black hole formation in this process. The goal of this study is to understand the role of the gravitational spin-spin interaction in the process of mini-black-hole formation in particle collisions. To simplify the problem we consider several gyraton models with special profiles of the energy and spin density distribution. For these models we study the apparent horizon (AH) formation on the future edge of a spacetime region before interaction. We demonstrate that the AH forms only if the energy duration and the spin are smaller than some critical values, while the length of the spin distribution should be at least of the order of the system gravitational radius. We also study gravitational spin-spin interaction in the head-on collision of two gyratons under the assumption that the values of gyraton spins are small. We demonstrate that the metric in the interaction region for such gyratons depends on the relative helicities of incoming gyratons, and the collision of gyratons with oppositely directed spins allows the AH formation in a larger parameter region than in the collision of the gyratons with the same direction of spins. Some applications of the obtained results to the mini-black-hole production at the Large Hadron Collider in TeV gravity scenarios are briefly discussed.
arXiv comment44 pages, 21 figures, published version
References in corpus (29)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- Black Holes at the LHC
- High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
- Classical Black Hole Production in High-Energy Collisions
- Black hole formation in the grazing collision of high-energy particles
- Rotating black holes at future colliders: Greybody factors for brane fields
- Improved analysis of black hole formation in high-energy particle collisions
- Black Holes from Colliding Wavepackets
- Distributional Energy-Momentum Tensor of the Kerr-Newman Space-Time Family
- Gravitational field of a spinning radiation beam-pulse in higher dimensions
- Black Hole Production in Particle Collisions and Higher Curvature Gravity
- The Ultrarelativistic Kerr-Geometry and its Energy-Momentum Tensor
- Gravitational field of relativistic gyratons
- Black hole formation in the head-on collision of ultrarelativistic charges
- Relativistic gyratons in asymptotically AdS spacetime
- Boosting the Kerr-geometry into an arbitrary direction
- Gravitational field of charged gyratons
- String Gyratons in Supergravity
- Light-Like Boost of the Kerr Gravitational Field
- Supersymmetric gyratons in five dimensions
- Lightlike limit of the boosted Kerr black holes in higher-dimensional spacetimes
- Aichelburg-Sexl boost of an isolated source in general relativity
- Scattering of High Speed Particles in the Kerr Gravitational Field
- Gravitational deflection of light and helicity asymmetry
- Gravitational helicity interaction
- Effect of charged partons on black hole production at the Large Hadron Collider
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- Head-on collision of ultrarelativistic particles in ghost-free theories of gravity
- Quantum black holes with charge, colour, and spin at the LHC
- Phenomenology of Production and Decay of Spinning Extra-Dimensional Black Holes at Hadron Colliders
- Gyratonic pp-waves and their impulsive limit
- Black holes and the LHC: A review
- Ultrarelativistic spinning objects in non-local ghost-free gravity
- Memory, Penrose Limits and the Geometry of Gravitational Shockwaves and Gyratons
- Gyratons on direct-product spacetimes
- Black Hole Formation from the Collision of Plane-Fronted Gravitational Waves
- Micro black holes formed in the early Universe and their cosmological implications
- Gyratons on Melvin spacetime
- Penrose junction conditions extended: impulsive waves with gyratons
- Completeness of general pp-wave spacetimes and their impulsive limit
- Non-linear Plane Gravitational Waves as Space-time Defects
- Collision of high-energy closed strings: Formation of a ring-like apparent horizon
- Energy-momentum and angular-momentum of a gyratonic pp-waves spacetime
- Arising of trapped surfaces with non-trivial topology from colliding shock waves