TL;DR
This paper investigates the statistical properties of recurring spike induced Kasner sequences, providing probability distributions and analyzing their implications for understanding spacelike singularities in cosmology.
Contribution
It introduces a probability distribution for spike-induced Kasner sequences, complementing BKL results, enhancing the understanding of generic spacelike singularities.
Findings
Derived probability distribution for spike sequences
Analyzed large and small curvature phases
Computed Hubble-normalized Weyl scalar
Abstract
In this paper we explore stochastical and statistical properties of so-called recurring spike induced Kasner sequences. Such sequences arise in recurring spike formation, which is needed together with the more familiar BKL scenario to yield a complete description of generic spacelike singularities. In particular we derive a probability distribution for recurring spike induced Kasner sequences, complementing similar available BKL results, which makes comparisons possible. As examples of applications, we derive results for so-called large and small curvature phases and the Hubble-normalized Weyl scalar.
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