TeVeS被焦散线捕获
TeVeS gets caught on caustics
摘要：
TeVeS使用具有类时单位范数约束的动态向量场来指定优选的局部框架。当物质在这个框架中缓慢移动时-所谓的准静态状态-修正牛顿动力学（MoND）的结果。具有这种矢量的理论（如爱因斯坦-以太）倾向于矢量动力学形成奇点，这使得它们的经典演化成问题。在这里，我们分析了在TeVeS中的向量在各种情况下的动态。我们发现，相当普遍的，矢量场的发展焦散奇点的时间尺度上的订单的引力下降时间。在表明奇点的形成是通用的，无论有没有物质，贝肯斯坦的TeVeS的原始配方出现动态问题。我们认为，通过修改矢量场动力学项更一般的形式所使用的爱因斯坦-乙醚这个问题可以避免。
英文摘要：
TeVeS uses a dynamical vector field with timelike unit norm constraint to specify a preferred local frame. When matter moves slowly in this frame - the so-called quasi-static regime - Modified Newtonian Dynamics (MoND) results. Theories with such vectors (such as Einstein-aether) are prone to the vector dynamics forming singularities which render their classical evolution problematic. Here we analyse the dynamics of the vector in TeVeS in various situations. We find that, quite generically, the vector field develops caustic singularities on time scales of order the gravitational in-fall time. Having shown singularity formation is generic with or without matter, Bekenstein's original formulation of TeVeS appears dynamically problematic. We argue that by modifying the vector field kinetic terms to the more general form used by Einstein-Aether this problem may be avoided.
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