尖峰振荡
Spike Oscillations
摘要：
根据Belinskii，Khalatnikov和Lifshitz（BKL），一般类空奇点的特征是渐近局部性：渐近地，朝向奇点，每个空间点独立于其邻居，以振荡的方式演化，由Bianchi I型和II型真空模型序列表示。最近的调查支持一个修改的猜想：空间结构（“尖峰”）的形成打破了渐近局部性。一般类空奇点的完整描述涉及尖峰振荡，这是由Bianchi I型序列和某些非均匀真空模型描述的。在本文中，我们描述了如何BKL和尖峰振荡产生的确切的解决方案，在哈勃归一化的状态空间设置的串联，建议隐藏的对称性的存在，并显示BKL的结果是一个更大的图片的一部分。
英文摘要：
According to Belinskii, Khalatnikov and Lifshitz (BKL), a generic spacelike singularity is characterized by asymptotic locality: Asymptotically, toward the singularity, each spatial point evolves independently from its neighbors, in an oscillatory manner that is represented by a sequence of Bianchi type I and II vacuum models. Recent investigations support a modified conjecture: The formation of spatial structures (`spikes') breaks asymptotic locality. The complete description of a generic spacelike singularity involves spike oscillations, which are described by sequences of Bianchi type I and certain inhomogeneous vacuum models. In this paper we describe how BKL and spike oscillations arise from concatenations of exact solutions in a Hubble-normalized state space setting, suggesting the existence of hidden symmetries and showing that the results of BKL are part of a greater picture.
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