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arXiv · 1206.0932

Spike Oscillations

J. Mark Heinzle·Claes Uggla·Woei Chet Lim
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Abstract

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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J. Mark Heinzle, Claes Uggla, Woei Chet Lim. 2012-06-05. Spike Oscillations. https://doi.org/10.1103/physrevd.86.104049

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