On particles collisions near rotating black holes
A. A. Grib, Yu. V. Pavlov

TL;DR
This paper analyzes particle collisions near rotating black holes, deriving formulas for scattering energy and demonstrating that multiple scattering can lead to extremely high energies even in nonextremal black holes.
Contribution
It provides new expressions for scattering energy in the center of mass frame and shows how multiple scattering can produce ultrarelativistic energies in nonextremal black holes.
Findings
Scattering energy can be very high near rotating black holes.
Multiple scattering enables ultrarelativistic energies in nonextremal black holes.
Estimated time for particles to reach ultrarelativistic energies.
Abstract
Scattering of particles with different masses and energy in the gravitational field of rotating black holes is considered as outside as inside the black hole. Expressions for scattering energy of particles in the centre of mass system are obtained. It is shown that scattering energy of particles in the centre of mass system can obtain very large values not only for extremal black holes but also for nonextremal ones if one takes into account multiple scattering. Numerical estimates for the time needed for the particle to get ultrarelativistic energy are given.
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