Motion and collision of particles in 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.

arXiv admin note: text overlap with arXiv:hep-th/0208225 by other authors

References in corpus (3)

• Acceleration of particles by nonrotating charged black holes
• Motion of Test Particles around a Charged Dilatonic Black Hole
• Analytical studies of Hawking radiation and quasinormal modes in rotating linear dilatonic black hole

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