Effect of a Weak Electromagnetic Field on Particle Acceleration by a Rotating Black Hole

Abstract

We study high energy charged particle collisions near the horizon in an electromagnetic field around a rotating black hole and reveal the condition of the fine-tuning to obtain arbitrarily large center-of-mass (CM) energy. We demonstrate that the CM energy can be arbitrarily large as the uniformly magnetized rotating black hole arbitrarily approaches maximal rotation under the situation that a charged particle plunges from the innermost stable circular orbit (ISCO) and collides with another particle near the horizon. Recently, Frolov [Phys. Rev. D 85, 024020 (2012)] proposed that the CM energy can be arbitrarily high if the magnetic field is arbitrarily strong, when a particle collides with a charged particle orbiting the ISCO with finite energy near the horizon of a uniformly magnetized Schwarzschild black hole. We show that the charged particle orbiting the ISCO around a spinning black hole needs arbitrarily high energy in the strong field limit. This suggests that Frolov's process is unstable against the black hole spin. Nevertheless, we see that magnetic fields may substantially promote the capability of rotating black holes as particle accelerators in astrophysical situations.

22 pages, 4 figures

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• Motion of charged particles near weakly magnetized Schwarzschild black hole
• Weakly magnetized black holes as particle accelerators
• Acceleration of particles by nonrotating charged black holes
• Collision of two general geodesic particles around a Kerr black hole
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• Charged particle motion and electromagnetic field in $\gamma$ spacetime
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• High Energy Collision of Particles in the Vicinity of Extremal Black Holes in Higher Dimensions: Banados-Silk-West Process as Linear Instability of Extremal Black Holes
• Observers in Kerr spacetimes: the ergoregion on the equatorial plane
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• Particle Acceleration in Rotating Modified Hayward and Bardeen Black Holes
• Particle collision with an arbitrarily high center-of-mass energy near a Bañados-Teitelboim-Zanelli black hole
• Kinematic restrictions on particle collisions near extremal black holes: A unified picture
• Effect of the self-gravity of shells on a high energy collision in a rotating Bañados-Teitelboim-Zanelli spacetime
• Electron in higher-dimensional weakly charged rotating black hole spacetimes
• Particle acceleration of two general particles in the background of rotating Ayón-Beato-García black holes
• Ultrahigh energy particle collisions near the black hole horizon in the strong magnetic field
• Acceleration of charged particles from near-extremal rotating black holes embedded in magnetic fields
• High energy collision of particles in the magnetic field far from black holes
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• Kinematics of Two-particle Scattering in Black Hole Backgrounds
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