Chaos in classical cosmology (II)

BLANCO, S.; COSTA, A.; ROSSO, O.

GENERAL RELATIVITY AND GRAVITATION

SPRINGER/PLENUM PUBLISHERS

Lugar: New York; Año: 1995 vol. 27 p. 12 - 24

0001-7701

We present a new dynamical calculation about the Friedman-Robertson-Walker universe considered as an autonomous Hamiltonian. The time evolution of this Hamiltonian presents numerical instabilities so we apply a symplectic integration via infinitesimal canonical transformations of the phase space time evolution that preserves the Poincaré invariant. In this way, we have also obtained a sensitive improvement in the accuracy of the Hamiltonian constraint, as well as in the computing time. We confirm our previous results; in a spatially closed universe, the route to chaos is reached by sucessive breakage of the resonant tori due to the action of 1∶1 resonances.