Circular orbits and acceleration of particles by near-extremal dirty rotating black holes: general approach

Abstract

We study the effect of ultra-high energy particles collisions near the black hole horizon (BSW effect) for two scenarios: when one of particle either (i) moves on a circular orbit or (ii) plunges from it towards the horizon. It is shown that such circular near-horizon orbits can exist for near-extremal black holes only. This includes the innermost stable orbit (ISCO), marginally bound orbit (MBO) and photon one (PhO). We consider generic "dirty" rotating black holes not specifying the metric and show that the energy in the centre of mass frame has the universal scaling dependence on the surface gravity $\kappa$. Namely, $E_{c.m.}\sim {\kappa }^{-n}$ where for the ISCO $n=1/3$ in case (i) or $n=1/2$ in case (ii). For the MBO and PhCO $n=1/2$ in both scenarios that agrees with recent calculations of Harada and Kimura for the Kerr metric. We also generalize the Grib and Pavlov's observations made for the Kerr metric. The magnitude of the BSW effect on the location of collision has a somewhat paradoxical character: it is decreasing when approaching the horizon.

20 pages. Confusion between notations in Sec. 7 corrected. Version to appear in CQG

References in corpus (3)

• Weakly magnetized black holes as particle accelerators
• Collision of two general geodesic particles around a Kerr black hole
• Collision of an object in the transition from adiabatic inspiral to plunge around a Kerr black hole

Cited by in corpus (17)

• Energy extraction from extremal charged black holes due to the BSW effect
• Rotating dirty black hole and its shadow
• Hairy Kiselev Black Hole Solutions
• Innermost stable circular orbit near dirty black holes in magnetic field and ultra-high energy particle collisions
• General limitations on trajectories suitable for super-Penrose process
• Near-horizon circular orbits and extremal limit for dirty rotating black holes
• Unbounded energies of debris from head-on particle collisions near black holes
• Banados-Silk-West effect with nongeodesic particles: Nonextremal horizons
• Extraction of energy from an extremal rotating electrovacuum black hole: Particle collisions in the equatorial plane
• Schwarzschild black hole surrounded by quintessential matter field as an accelerator for spinning particles
• Effect of the self-gravity of shells on a high energy collision in a rotating Bañados-Teitelboim-Zanelli spacetime
• Ultra-high energy collisions of nonequatorial geodesic particles near dirty black holes
• Ultrahigh energy particle collisions near the black hole horizon in the strong magnetic field
• Penrose and super-Penrose energy extraction from a Reissner-Nordström black hole spacetime with a cosmological constant through the BSW mechanism: Full story
• Acceleration of particles by quasiblack holes
• Near-Horizon Collisions around Near-Extremal Black Holes
• Can a nonextremal black hole be a particle accelerator?