Acceleration of colliding shells around a black hole: Validity of the test particle approximation in the Banados-Silk-West process
Acceleration of colliding shells around a black hole: Validity of the test particle approximation in the Banados-Silk-West process
复制标题
DOI：
10.1103/physrevd.83.044013
复制
发表时间：
2010-10
影响因子：
5
通讯作者：
M. Kimura;K. Nakao;H. Tagoshi
中科院分区：
文献类型：
--
作者：
M. Kimura;K. Nakao;H. Tagoshi
最近，Banados，Silk and West(BSW)发现，在一个极端的克尔黑洞附近，两个碰撞的测试粒子的总能量在其质心框架内没有上限，即使这些粒子在无限远的过去处于静止状态。我们将这种机制称为BSW机制或BSW过程。这些粒子的大能量将产生强大的重力，尽管在BSW分析中没有考虑到这一点。在一个极端的Reissner-Nordstroem黑洞附近，两个球形测试壳的碰撞也出现了类似的机制。在这篇文章中，我们研究了两个球形尘埃壳的碰撞，因为它们的重力是可以精确处理的，所以对于BSW过程中粒子碰撞产生的重力的影响是有意义的。我们证明了质心标架中两个相互碰撞的壳体由于自身引力的作用，在无穷远处可观察到的能量有一个上限。我们的结果表明，在BSW过程中，由于粒子的引力更大，在可见区域的质心标架中碰撞粒子的总能量也存在上限。
Recently, Banados, Silk and West (BSW) showed that the total energy of two colliding test particles has no upper limit in their center of mass frame in the neighborhood of an extreme Kerr black hole, even if these particles were at rest at infinity in the infinite past. We call this mechanism the BSW mechanism or BSW process. The large energy of such particles would generate strong gravity, although this has not been taken into account in the BSW analysis. A similar mechanism is seen in the collision of two spherical test shells in the neighborhood of an extreme Reissner-Nordstroem black hole. In this paper, in order to draw some implications concerning the effects of gravity generated by colliding particles in the BSW process, we study a collision of two spherical dust shells, since their gravity can be exactly treated. We show that the energy of two colliding shells in the center of mass frame observable from infinity has an upper limit due to their own gravity. Our result suggests that an upper limit also exists for the total energy of colliding particles in the center of mass frame in the observable domain in the BSW process due the gravitymore » of the particles.« less