https://doi.org/10.1140/epjc/s10052-018-5814-0
Regular Article - Theoretical Physics
Particle collisions near a three-dimensional warped AdS black hole
1
Departamento de Ciencias Matemáticas y Físicas, Universidad Católica de Temuco, Montt 56, Casilla 15-D, Temuco, Chile
2
Facultad de Ingeniería y Ciencias, Universidad Diego Portales, Avenida Ejército Libertador 441, Casilla 298-V, Santiago, Chile
3
Departamento de Física y Astronomía, Facultad de Ciencias, Universidad de La Serena, Avenida Cisternas 1200, La Serena, Chile
* e-mail: rbecar@uct.cl
Received:
22
December
2017
Accepted:
16
April
2018
Published online:
25
April
2018
In this paper we consider the warped 
black hole solution of topologically massive gravity with a negative cosmological constant, and we study the possibility that it 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, which is known as the Bañnados, Silk and West (BSW) process. Mainly, we show that the critical angular momentum 
of the particle decreases when the warping parameter(
) increases. Also, we show that despite the particle with 
being able to exist for certain values of the conserved energy outside the horizon, it will never reach the event horizon; therefore, the black hole cannot act as a particle accelerator with arbitrarily high CM energy on the event horizon. However, such a particle could also exist inside the outer horizon, with the BSW process being possible on the inner horizon. On the other hand, for the extremal warped black hole, the particle with and energy E could exist outside the event horizon and, the CM energy blows up on the event horizon if its conserved energy fulfills the condition 
, with the BSW process being possible.
© The Author(s), 2018
