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
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
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