Schwarzschild black hole as accelerator of accelerated particles

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 $E_{c.m.}$ 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, $E_{c.m.}$ is bounded but, instead, the analogue of the Penrose effect is possible.

9 pages. Presentation expanded. To appear in JETP Letters

References in corpus (4)

• Acceleration of particles by nonrotating charged black holes
• Dark matter annihilation in the gravitational field of a black hole
• Banados-Silk-West effect with nongeodesic particles: Nonextremal horizons
• Bound on Rindler trajectories in Black Hole spacetime

Cited by in corpus (7)

• Particle collisions near static spherically symmetric black holes
• Bañados-Silk-West effect with finite forces near different types of horizons: general classification of scenarios
• BSW phenomenon for near-fine-tuned particles with external force: general classification of scenarios
• Super-Penrose process for nonextremal black holes
• On phase transitions near black holes
• Particle decay, Oberth effect and a relativistic rocket in the Schwarzschild background
• Near-horizon properties of trajectories with finite force relevant for Bañados-Silk-West effect