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

2018/02/06 by P. A. González, Marco Olivares, Eleftherios Papantonopoulos +1 · 1 citation
Physics and Astronomy · #Angular momentum #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Dilaton #Horizon #Penrose process #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Rotating black hole #String (physics) #Test particle #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.97.064034

published as Phys. Rev. D 97, 064034 (2018) · arXiv admin note: text overlap with arXiv:hep-th/0208225 by other authors

arxiv created 2018/02/06 · openalex created_date 2018/02/23 · openalex publication_date 2018/03/26 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05

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 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 c.m. energy. This is known as the Ba\~nados, Silk, and West process. We also show that the motion and collisions of particles have behavior similar to the three-dimensional Ba\~nados-Teitelboim-Zanelli black hole. In fact, the photons can plunge into the horizon or escape to infinity, and they cannot be deflected, while for massive particles there are no confined orbits of the first kind, like planetary or circular orbits.

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