TY - JOUR

T1 - Kasner and mixmaster behavior in universes with equation of state [Formula Presented]

AU - Erickson, Joel K.

AU - Wesley, Daniel H.

AU - Steinhardt, Paul J.

AU - Turok, Neil

PY - 2004

Y1 - 2004

N2 - We consider cosmological models with a scalar field with equation of state [Formula Presented] 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 [Formula Presented] 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 [Formula Presented] orbifold compactification also contributes to suppressing chaotic behavior. In particular, chaos is avoided in contracting heterotic M-theory models if [Formula Presented] at the crunch.

AB - We consider cosmological models with a scalar field with equation of state [Formula Presented] 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 [Formula Presented] 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 [Formula Presented] orbifold compactification also contributes to suppressing chaotic behavior. In particular, chaos is avoided in contracting heterotic M-theory models if [Formula Presented] at the crunch.

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U2 - 10.1103/PhysRevD.69.063514

DO - 10.1103/PhysRevD.69.063514

M3 - Article

SN - 1550-7998

VL - 69

SP - 11

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 6

ER -