标题： 三维翘曲AdS黑洞附近的粒子碰撞 显示英文标题

标题： Particle collisions near a three-dimensional warped AdS black hole

摘要： 本文我们研究了具有负宇宙常数的拓扑质量引力中的扭曲AdS$_{3}$黑洞解，并通过分析靠近其视界附近的两个碰撞粒子的质心（CM）能量框架来探讨它是否可以作为粒子加速器。这被称为Bañados-Silk-West（BSW）过程。 主要地，我们证明当控制拉伸变形的参数（$\nu$）增加时，粒子的关键角动量（$(L_c)$）会减小。 此外，我们还表明尽管具有$L_c$的粒子可以在视界外部某些守恒能量值下存在，但它永远无法到达事件视界；因此，黑洞不能在事件视界上以任意高的质心能量充当粒子加速器。 然而，这种粒子也可能存在于外视界内部，在内视界上BSW过程是可能发生的。 另一方面，对于极值扭曲AdS$_{3}$黑洞，具有$L_c$和能量$E$的粒子可以存在于事件视界之外，而当其守恒能量满足条件$E^{2}>\frac{(\nu^{2}+3)l^{2}}{3(\nu^{2}-1)}$时，质心能量会在事件视界发散，此时 BSW 过程可能发生。 显示英文摘要

摘要： In this paper we consider the warped AdS$_{3}$ black hole solution of topologically massive gravity with a negative cosmological constant, and we investigate 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 Ba\~nados, Silk and West (BSW) process. Mainly, we show that the critical angular momentum $(L_c)$ of the particle decreases when the parameter that controls the stretching deformation ($\nu$) increases. Also, we show that despite the particle with $L_c$ can exist for certain values of the conserved energy outside the horizon, it will never reach the event horizon; therefore, the black hole can not act as a particle accelerator with arbitrarily high CM energy on the event horizon. However, such particle could also exist inside the outer horizon being the BSW process possible on the inner horizon. On the other hand, for the extremal warped AdS$_{3}$ black hole, the particle with $L_c$ and energy $E$ could exist outside the event horizon and the CM energy blows up on the event horizon if its conserved energy fulfill the condition $E^{2}>\frac{(\nu^{2}+3)l^{2}}{3(\nu^{2}-1)}$, being the BSW process possible.