Motion and collision of particles in a rotating linear dilaton black hole

Abstract

We study the motion of particles in the background of a four-dimensional linear dilaton black hole. We solve analytically the equations of motion of the test particles and we describe their motion. We show that the dilaton black hole acts as a particle accelerator by analyzing the energy in the center of mass (CM) frame of two colliding particles in the vicinity of its horizon. In particular we find that there is a critical value of the angular momentum, which depends on the string coupling, and a particle with this critical angular momentum can reach the inner horizon with an arbitrarily high CM energy. This is known as the Bañados, Silk and West (BSW) process. We also show that the motion and collisions of particles have a similar behavior to the three-dimensional BTZ black hole. In fact, the photons can plunge into the horizon or escape to infinity, and they can not be deflected, while for massive particles there are no confined orbits of first kind, like planetary or circular orbits.

Particle collisions near static spherically symmetric black holes

“…They pointed out that the extremal rotating BHs may therefore be used as an important probe of high energy scale physics. Since then collisions of geodesic (and charged) particles near the horizon of legion of BHs [2][3][4][5][6][7][8][9][10][11][12][13][14][15] has been analysed. The study of BSW effect is not limited to geodesic particles only but extended to spinning and accelerated particles as well [16][17][18].…”

Scattering and absorption of a scalar field impinging on a charged black hole in the Einstein-Maxwell-dilaton theory

“…Since the static spacetime has two Killing vectors, ∂ t and ∂ φ , this implies the existence of two conserved quantities, namely the energy (E = f (r)dt/dλ) and angular momentum (L = r 2 sin 2 θdϕ/dλ). A full analysis of the geodesics for dilatonic black holes is reported in [48]. In the case of null geodesics in the equatorial plane (θ = π/2), replacing the metric ( 5) in (11) we arrive at an effective problem with a radial equation and angular velocity given by…”

Super Penrose Process for Kerr Black Hole And White Hole in Rainbow Gravity

“…This was called BSW effect. After it publication, a lot of high energy collisions has been studied [2][3][4][5][6][7][8][9][10][11][12][13]. They focus on energy in the center of mass.…”