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

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

2003-11-30

arxiv.org/abs/hep-th/0312009v2

Phys.Rev.D69:063514,2004

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 2 figures, minor changes, references added

Scientific paper

10.1103/PhysRevD.69.063514

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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