General stationary charged black holes as charged particle accelerators
Abstract
We study the possibility of getting infinite energy in the center-of-mass frame of colliding charged particles in a general stationary charged black hole. For black holes with twofold degenerate horizon, it is found that arbitrary high center-of-mass energy can be attained, provided that one of the particle has critical angular momentum or critical charge and the remained parameters of particles and black holes satisfy certain restriction. For black holes with multiple-fold degenerate event horizons, the restriction is released. For nondegenerate black holes, the ultrahigh center-of-mass is possible to be reached by invoking the multiple scattering mechanism. We obtain a condition for the existence of innermost stable circular orbit with critical angular momentum or charge on any-fold degenerate horizons, which is essential to get ultrahigh center-of-mass energy without fine-tuning problem. We also discuss the proper time spending by the particle to reach the horizon and the duality between frame-dragging effect and electromagnetic interaction. Some of these general results are applied to braneworld small black holes.