Acceleration of particles by black holes -- general explanation

Abstract

We give simple and general explanation to the effect of unbound acceleration of particles by black holes. It is related to the fact that the scalar product of a timelike vector of the four-velocity of an ingoing particle and the lightlike horizon generator tends to zero in some special cases, so the condition of "motion forward in time" is marginally satisfied. In this sense, an ingoing particle with special relation between parameters imitates the property of infinite redshift typical of any outgoing particle near the future horizon of a black hole. We check this assertion using the Reissner-Nordstrom and rotating axially-symmetric metrics as examples.

10 pages. Discussion expanded, sections 2, 3 amended. To appear in CQG

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• Acceleration of particles near the inner black hole horizon
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• Center of Mass Energy of Three General Geodesic Colliding Particles Around a Kerr-MOG Black Hole
• High-energy collisions inside black holes and their counterpart in flat space-time
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• Efficiency of Higher Dimensional Black Holes as Particle Accelerators
• BSW process of the slowly evaporating charged black hole
• Near-horizon behavior of nonequatorial accelerated particle motion and high energy particle collisions