Chaos in Anisotropic Pre-Inflationary Universes
arXiv:gr-qc/9702044 · doi:10.1103/PhysRevD.56.730
Abstract
We study the dynamics of anisotropic Bianchi type-IX models with matter and cosmological constant. The models can be thought as describing the role of anisotropy in the early stages of inflation. The concurrence of the cosmological constant and anisotropy are sufficient to produce a chaotic dynamics in the gravitational degrees of freedom, connected to the presence of a critical point of saddle-center type in the phase space of the system. The invariant character of chaos is guaranteed by the topology of the cylinders emanating from unstable periodic orbits in the neighborhood of the saddle-center. We discuss a possible mechanism for amplification of specific wavelengths of inhomogeneous fluctuations in the models. A geometrical interpretation is given for Wald's inequality in terms of invariant tori and their destruction by increasing values of the cosmological constant.
14 pages, figures available under request. submitted to Physical Review D
Cited by in corpus (12)
- Dynamical System Analysis for Inflation with Dissipation
- Homoclinic chaos in the dynamics of a general Bianchi IX model
- Matter and dynamics in closed cosmologies
- Chaos in Preinflationary Friedmann-Robertson-Walker Universes
- Chaos and Universality in the Dynamics of Inflationary Cosmologies
- Hamiltonian Dynamics of Spatially-Homogeneous Vlasov-Einstein Systems
- Chaos in a closed Friedmann-Robertson-Walker universe: An imaginary approach
- Chaotic dynamics of the Bianchi IX universe in Gauss-Bonnet gravity
- Homoclinic chaos and energy condition violation
- Chaos and a Resonance Mechanism for Structure Formation in Inflationary Models
- Homoclinic Chaos in Axisymmetric Bianchi-IX cosmological models with an "ad hoc" quantum potential
- Non-integrability of the axisymmetric Bianchi IX cosmological model via Differential Galois Theory