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
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
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
AN - SCOPUS:33750447591
VL - 69
SP - 11
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 6
ER -