High-energy head-on particle collisions near event horizons: Classification of scenarios

Abstract

In this paper, we consider head-on collisions of two particles near the event horizon. Particle 1 is outgoing, particle 2 is ingoing. We elucidate the conditions when the energy [Formula: see text] in the center of mass frame can grow unbounded. In doing so, we dispel some misconceptions popular in the literature on high energy collisions near black holes and carry out clear distinction when such a collision happens near a black hole and when this occurs near a white one. If the proper time between the horizon and an arbitrary point outside it for particle 1 is finite, we deal with a white hole. If it is infinite, we deal with a black hole. Particles can be either free or experience the action of a finite force. Our results are complementary to those for the standard BSW effect when particles move in the same direction. The results rely on classification of particles developed in our previous work Ovcharenko and Zaslavskii [Phys. Rev. D 108 (2023) 064029]. The aforementioned article performed the first step towards a building classification of all possible high energy collisions near black/white hole for different types of horizons and nonzero force. In this paper, we perform the second step.