Black-hole bombs at the LHC

Abstract

A particle scattered off by a rotating black hole can be amplified when the system is in the superradiant regime. If the system is surrounded by a mirror which reflects the particle back to the black hole the whole system forms a black-hole bomb, amplifying the original field exponentially. We show in this paper that higher dimensional black holes can also form black-hole bombs at the LHC. For a pion the $e$-folding time for the field amplification is $t_c\sim 10^{-23}-10^{-24}$ sec. If the lifetime of the black hole is long enough compared with $t_c$, we can observe severely amplified fields.

10 pages, 1 figure, 1 table. More discussions in the Introduction, minor changes; references updated

References in corpus (5)

• Instability of the massive Klein-Gordon field on the Kerr spacetime
• Analytic treatment of the black-hole bomb
• Black Holes at the LHC
• Emission of Massive Scalar Fields by a Higher-Dimensional Rotating Black-Hole
• Microcanonical description of (micro) black holes

Cited by in corpus (11)

• Numerical study of superradiant instability for charged stringy black hole-mirror system
• Black hole bombs and explosions: from astrophysics to particle physics
• Superradiant instability of charged massive scalar field in Kerr-Newman-anti-de Sitter black hole
• Spinning Kerr black holes with stationary massive scalar clouds: The large-coupling regime
• Superradiant instability of the charged scalar field in stringy black hole mirror system
• Analytic treatment of the system of a Kerr-Newman black hole and a charged massive scalar field
• Time domain analysis of superradiant instability for the charged stringy black hole-mirror system
• Stability of charged black holes in string theory under charged massive scalar perturbations
• Stationary bound-state scalar configurations supported by rapidly-spinning exotic compact objects
• Analytical study of superradiant instability for five-dimensional Kerr-Gödel black hole
• Thermodynamic structure of field equations near apparent horizon for radiating black holes