General Relativity and Gravitation

, Volume 45, Issue 5, pp 939–957 | Cite as

Spike statistics

Editor’s Choice (Research Article)

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.

Keywords

Singularities BKL Recurring spikes Stochasticty 

Notes

Acknowledgments

We thank the Erwin Schrödinger Institute, Vienna, for hospitality, where part of this work was carried out.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Faculty of Physics, Gravitational PhysicsUniversity of Vienna ViennaAustria
  2. 2.Department of PhysicsUniversity of KarlstadKarlstadSweden

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