Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-02-21
Phys.Rev. D56 (1997) 730-740
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages, figures available under request. submitted to Physical Review D
Scientific paper
10.1103/PhysRevD.56.730
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.
Damio Soares I.
de Oliveira Henrique P.
Stuchi Teresinha J.
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