Generic instability of the dynamics underlying the Belinski-Khalatnikov-Lifshitz scenario
arXiv:2103.16145 · doi:10.1140/epjc/s10052-022-10158-7
Abstract
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. Regularity of the dynamics is also examined with the dynamical systems method. Our results confirm the conjecture of BKL that the dynamics near the singularity becomes generically chaotic.
arXiv comment17 pages, 3 figures, version accepted for publication in EPJC
References in corpus (9)
- The Bianchi Ix (MIXMASTER) Cosmological Model is Not Integrable
- On the cosmological singularity
- Quantum Belinski-Khalatnikov-Lifshitz scenario
- On the dynamics of the general Bianchi IX spacetime near the singularity
- Bianchi IX model: Reducing phase space
- Robustness of the quantum BKL scenario
- Kovalevski exponents and integrability properties in class A homogeneous cosmological models
- On the cosmological gravitational waves and cosmological distances
- Curvature invariants for the Bianchi IX spacetime filled with tilted dust