标题： 平面能量散射，相撞的平面引力波和黑洞形成 显示英文标题

标题： Planckian Energy Scattering, Colliding Plane Gravitational Waves and Black Hole Creation

摘要： 在一系列论文中，Amati、Ciafaloni 和 Veneziano 以及 't Hooft 提出了一个猜想，即在两个轻粒子以普朗克能量碰撞时会发生黑洞。 在本文中，我们通过使用 Kerr 黑洞解与相撞平面引力波之间的 Chandrasekhar-Ferrari-Xanthopoulos 对偶性，讨论了这种过程的可能情景。 我们澄清了从仅包含普通物质而不包含黑洞的量子态到包含黑洞的态的转换振幅定义中出现的问题。 考虑了两个平面引力波碰撞产生一个局部等距于黑洞解内部的空间时间区域的情况。 通过使用 Fabbrichesi、Pettorino、Veneziano 和 Vilkovisky 的方法计算了从平面波到白洞和黑洞的转换振幅的相位。 还讨论了另一种超越视界的扩展，在这种情况下，空间时间再次分裂为两个分离的引力波。 这种过程被解释为平面引力波通过创建虚拟的黑洞和白洞进行散射。 显示英文摘要

摘要： In a series of papers Amati, Ciafaloni and Veneziano and 't Hooft conjectured that black holes occur in the collision of two light particles at planckian energies. In this paper we discuss a possible scenario for such a process by using the Chandrasekhar-Ferrari-Xanthopoulos duality between the Kerr black hole solution and colliding plane gravitational waves. We clarify issues arising in the definition of transition amplitude from a quantum state containing only usual matter without black holes to a state containing black holes. Collision of two plane gravitational waves producing a space-time region which is locally isometric to an interior of black hole solution is considered. The phase of the transition amplitude from plane waves to white and black hole is calculated by using the Fabbrichesi, Pettorino, Veneziano and Vilkovisky approach. An alternative extension beyond the horizon in which the space-time again splits into two separating gravitational waves is also discussed. Such a process is interpreted as the scattering of plane gravitational waves through creation of virtual black and white holes.