引力shock waves碰撞中陷阱面的临界形成
Critical formation of trapped surfaces in the collision of gravitational shock waves
摘要：
本文研究了在反de Sitter时空和Minkowski时空中两个冲击波迎头碰撞过程中，边缘俘获面的形成随横向空间中能量密度的扩展而变化。当D=4和D=5时，存在一个临界值，超过这个临界值，捕获面方程就没有解了，在四维空间中，临界状态下的捕获面有一个有限的尺寸，而在五维空间中，临界尺寸为零。在这两种情况下，我们发现标度关系的关键指数。最后，当D>5时，对于任何横向扩展，捕获面方程总是有解。
英文摘要：
We study the formation of marginally trapped surfaces in the head-on collision of two shock waves both in anti-de Sitter and Minkowski space-time in various dimensions as a function of the spread of the energy density in transverse space. For D=4 and D=5 it is shown that there exists a critical value of this spread above which no solution to the trapped surface equation is found. In four dimensions the trapped surface at criticality has a finite size, whereas in five the critical size vanishes. In both cases we find scaling relations characterized by critical exponents. Finally, when D>5 there is always a solution to the trapped surface equation for any transverse spread.
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