Is there chaos in string cosmology?

Abstract

Bianchi type IX, 'Mixmaster' universes are investigated in low-energy-effective-action string cosmology. We show that, unlike in general relativity, there is no chaos in these string cosmologies for the case of the tree-level action. The characteristic Mixmaster evolution through a series of Kasner epochs is studied in detail. In the Einstein frame an infinite sequence of chaotic oscillations of the scale factors on approach to the initial singularity is impossible, as it was in general relativistic Mixmaster universes in the presence of a massless scalar field. A finite sequence of oscillations of the scale factors described by approximate Kasner metrics is possible, but it always ceases when all expansion rates become positive. In the string frame the evolution through Kasner epochs changes to a new form which reflects the duality symmetry of the theory. Again, we show that chaotic oscillations must end after a finite time. The need for duality symmetry appears to be incompatible with the presence of chaotic behaviour as $t\to 0$. We also obtain our results using the Hamiltonian qualitative cosmological picture for Mixmaster models. We also prove that a time-independent pseudoscalar axion field $h$ is not admitted by the Bianchi IX geometry.

49 pages, Revtex 3.0, 4 postscript figures, typos in references corrected, one reference added

References in corpus (5)

• Inhomogeneous Pre-Big Bang String Cosmology
• Inhomogeneous String Cosmologies
• Chaos in the Einstein-Yang-Mills Equations
• Classical Inhomogeneities in String Cosmology
• Closed Inhomogeneous String Cosmologies

Cited by in corpus (11)

• The Pre-Big Bang Scenario in String Cosmology
• Singularity-free cosmological solutions in quadratic gravity
• Godel Universes in String Theory
• A Simple/Short Introduction to Pre-Big-Bang Physics/Cosmology
• Non-chaotic dynamics in general-relativistic and scalar-tensor cosmology
• The Behavior of Kasner Cosmologies with Induced Matter
• The Mixmaster Universe in a generalized uncertainty principle framework
• An anisotropic bouncing universe in non-local gravity
• Cyclical Behaviour in Early Universe Cosmologies
• String Cosmology: The Pre-Big Bang Scenario
• Rotation in string cosmology