Mixmaster chaos

2000/11/01 by Adilson E. Motter, A. E. Motter, Patricio S. Letelier +1 · 1 citation
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Artificial intelligence #CHAOS (operating system) #Chaotic #Computer science #Cornish #Cosmological model #Cosmology #Cosmology and Gravitation Theories #Linguistics #Philosophy #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Statistical physics #Theoretical physics #gr-qc

paper · pdf · doi:10.1016/s0375-9601(01)00349-8

published as Phys.Lett. A285 (2001) 127-131 · 9 pages, 4 figures

arxiv created 2000/11/01 · openalex publication_date 2001/07/01 · arxiv updated 2009/11/30 · openalex created_date 2020/07/02 · openalex updated_date 2026/08/05

Abstract

The significant discussion about the possible chaotic behavior of the mixmaster cosmological model due to Cornish and Levin [J.N. Cornish and J.J. Levin, Phys. Rev. Lett. 78 (1997) 998; Phys. Rev. D 55 (1997) 7489] is revisited. We improve their method by correcting nontrivial oversights that make their work inconclusive to precisely confirm their result: ``The mixmaster universe is indeed chaotic''.

Citations

• Deterministic Chaos in General Relativity
• Oscillatory approach to a singular point in the relativistic cosmology
• The Mixmaster Universe is Chaotic
• How to determine approximate mixmaster parameters from numerical evolution of Einstein’s equations
• Chaos in the Mixmaster Universe
• Mixmaster Universe

Cited by

• Mixmaster revisited: wormhole solutions to the Bianchi IX Wheeler–DeWitt equation using the Euclidean-signature semi-classical method