Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-09-14
Phys.Rev.D60:121301,1999
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages, 4 figures, submitted to Physical Review D
Scientific paper
10.1103/PhysRevD.60.121301
We describe a new statistical pattern in the chaotic dynamics of closed inflationary cosmologies, associated with the partition of the Hamiltonian rotational motion energy and hyperbolic motion energy pieces, in a linear neighborhood of the saddle-center present in the phase space of the models. The hyperbolic energy of orbits visiting a neighborhood of the saddle-center has a random distribution with respect to the ensemble of initial conditions, but the associated histograms define a statistical distribution law of the form $p(x) = C x^{-\gamma}$, for almost the whole range of hyperbolic energies considered. We present numerical evidence that $\gamma$ determines the dimension of the fractal basin boundaries in the ensemble of initial conditions. This distribution is universal in the sense that it does not depend on the parameters of the models and is scale invariant. We discuss possible physical consequences of this universality for the physics of inflation.tribution law of the form $p(x) = C x^{-\gamma}$, for almost the whole range of hyperbolic energies considered. We present numerical evidence that $\gamma$ determines the dimension of the fractal basin boundaries in the ensemble of initial conditions. This distribution is universal in the sense that it does not depend on the parameters of the models and is scale invariant. We discuss possible physical consequences of this universality for the physics of inflation.
Damio Soares I.
de Oliveira Henrique P.
Sautu S. L.
Tonini E. V.
No associations
LandOfFree
Chaos and Universality in the Dynamics of Inflationary Cosmologies does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Chaos and Universality in the Dynamics of Inflationary Cosmologies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chaos and Universality in the Dynamics of Inflationary Cosmologies will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-655899