Rotating Charged Cylindrical Black Holes as Particle Accelerators

TL;DR

This paper explores the potential of extremal rotating charged cylindrical black holes to act as particle accelerators by analyzing high-energy collisions near their horizons.

Contribution

It extends the BSW mechanism to cylindrical black holes, deriving geodesics and center-of-mass energies in this topology, including extremal limits.

Findings

High center-of-mass energies are achievable near extremal cylindrical black holes.

The geodesic equations for rotating charged cylindrical black holes are derived.

Extremal limits of the black holes lead to divergent collision energies.

Abstract

It has recently been pointed out that arbitrary center-of-mass energies may be obtained for particle collisions near the horizon of an extremal Kerr black hole. We investigate this mechanism in cylindrical topology. In particular we consider the center-of-mass energies of a cylindrical black hole with an extremal rotation and charge parameter. The geodesics are first derived with a rotating charged cylindrical black hole producing the background gravitational field. Finally the center-of-mass is determined for this background and its extremal limit is taken.