Generic instability of the dynamics underlying the Belinski–Khalatnikov–Lifshitz scenario-Reference-Cited by-同舟云学术

Generic instability of the dynamics underlying the Belinski–Khalatnikov–Lifshitz scenario

Published:2022-03 Issue:3 Volume:82 Page:
ISSN:1434-6044
Container-title:The European Physical Journal C
language:en
Short-container-title:Eur. Phys. J. C

Author:

Goldstein Piotr^ORCID,Piechocki Włodzimierz^ORCID

Abstract

AbstractA class of exact solutions to the Belinski–Khalatnikov–Lifshitz (BKL) scenario is derived and tested for their stability against small perturbations. These are the only regular solutions in the Painlevé sense. We prove that they are unstable in the vicinity of the cosmological singularity. The regularity of the dynamics is also examined with the dynamical systems method. Our results confirm the BKL conjecture that the dynamics near the singularity becomes generically chaotic.

Publisher

Springer Science and Business Media LLC

Subject

Physics and Astronomy (miscellaneous),Engineering (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1140/epjc/s10052-022-10158-7.pdf

Reference24 articles.

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2. V.A. Belinskii, I.M. Khalatnikov, E.M. Lifshitz, A general solution of the Einstein equations with a time singularity. Adv. Phys. 31, 639 (1982)

3. V.A. Belinskii, I.M. Khalatnikov, M.P. Ryan, The oscillatory regime near the singularity in Bianchi-type IX universes, vol. 469 (Landau Institute for Theoretical Physics, Moscow, 1971) (unpublished, preprint)

4. V.A. Belinskii, I.M. Khalatnikov, M.P. Ryan, the work due to V.A. Belinskii and I.M. Khalatnikov is published as sections 1 and 2 in M.P. Ryan, Ann. Phys. 70, 301 (1971)

5. V.A. Belinski, On the cosmological singularity. Int. J. Mod. Phys. D 23, 1430016 (2014)

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