https://doi.org/10.1140/epjc/s10052-022-10158-7
Regular Article - Theoretical Physics
Generic instability of the dynamics underlying the Belinski–Khalatnikov–Lifshitz scenario
Department of Fundamental Research, National Centre for Nuclear Research, Pasteura 7, 02-093, Warsaw, Poland
b
wlodzimierz.piechocki@ncbj.gov.pl
Received:
12
December
2021
Accepted:
20
February
2022
Published online:
11
March
2022
A 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.
© The Author(s) 2022
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3
