The Mixmaster Universe is Chaotic

1996/05/31 by Neil J. Cornish, Janna Levin, Janna J. Levin · 10 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Artificial intelligence #Astronomy #Chaotic #Complex Systems and Time Series Analysis #Computer science #Cosmology and Gravitation Theories #Fractal #Mathematical analysis #Mathematics #Observer (physics) #Physics #Quantum mechanics #Statistical physics #Theoretical physics #Universe #astro-ph #chao-dyn #gr-qc #nlin.CD

paper · pdf · doi:10.1103/physrevlett.78.998

published as Phys.Rev.Lett. 78 (1997) 998-1001 · 4 pages, RevTeX, 3 figures included. New presentation, same results

arxiv created 1996/11/05 · openalex publication_date 1997/02/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

For the past decade there has been a considerable debate about the existence of chaos in the mixmaster cosmological model. The debate has been hampered by the coordinate, or observer, dependence of standard chaotic indicators such as Lyapunov exponents. Here we use coordinate-independent, fractal methods to show the mixmaster universe is indeed chaotic.

Citations

• The singularities of gravitational collapse and cosmology
• Oscillatory approach to a singular point in the relativistic cosmology
• PROBLEMS OF RELATIVISTIC COSMOLOGY
• Mixmaster Universe

Cited by

• A cosmological solution of Regge calculus
• Homoclinic chaos in the dynamics of a general Bianchi type-IX model
• The Cosmological Singularity
• Cosmological billiards
• Chaotic motion in pp -wave spacetimes
• Chaotic universe in thez=2Hořava-Lifshitz gravity
• Oscillating Bianchi IX universe in Hořava-Lifshitz gravity
• Mixmaster chaos
• The mixmaster universe in Hořava–Lifshitz gravity
• Bianchi classification [wikipedia]