Schwarzschild black hole as accelerator of accelerated particles
O. B. Zaslavskii
Department of Physics and Technology, Kharkov V. N. Karazin National University, 61022 Kharkov, Ukraine
Institute of Mathematics and Mechanics, Kazan Federal University, 420008 Kazan, Russia
Abstract
We consider collision of two particles near the horizon of a nonextremal
static black hole. At least one of them is accelerated. We show that the
energy Ec.m. in the center of mass can become unbounded in spite of
the
fact that a black hole is neither rotating nor electrically charged. In
particular, this happens even for the Schwarzschild black hole. The key
ingredient that makes it possible is the presence of positive
acceleration
(repulsion). Then, if one of particles is fine-tuned properly, the effect
takes place. This acceleration can be caused by an external force in the
case of particles or some engine in the case of a macroscopic body
("rocket"). If the force is attractive, Ec.m. is bounded but,
instead, the analogue of the Penrose effect is possible.