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Kasner and Mixmaster behavior in universes with equation of state w \ge 1

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arxiv hep-th/0312009 v2 pith:KTFAOMPV submitted 2003-11-30 hep-th astro-phgr-qc

Joel K. Erickson , Daniel H. Wesley , Paul J. Steinhardt , Neil Turok This is my paper · ORCID
classification hep-thastro-phgr-qc
keywords chaoticequationbehaviorcrunchfieldmixmastermodelsoscillations
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abstract

We consider cosmological models with a scalar field with equation of state $w\ge 1$ that contract towards a big crunch singularity, as in recent cyclic and ekpyrotic scenarios. We show that chaotic mixmaster oscillations due to anisotropy and curvature are suppressed, and the contraction is described by a homogeneous and isotropic Friedmann equation if $w>1$. We generalize the results to theories where the scalar field couples to p-forms and show that there exists a finite value of $w$, depending on the p-forms, such that chaotic oscillations are suppressed. We show that $Z_2$ orbifold compactification also contributes to suppressing chaotic behavior. In particular, chaos is avoided in contracting heterotic M-theory models if $w>1$ at the crunch.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 266 citations worldwide. Full citation record

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  3. Causal Horizons, Geodesic Completeness and Stability in Slow Contraction Cosmology

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Semi-infinite slow contraction (ε>3) is past-complete and horizon-free, asymptotes to Minkowski, evades BGV, and stays stable, unlike contracting de Sitter.

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