Homoclinic phenomena in the gravitational collapse |
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| Authors: | J. Koiller J.R.T. de Mello Neto I.Damião Soares |
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| Affiliation: | Instituto de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, 21944 Rio de Janeiro, RJ, Brazil;Centro Brasileiro de Pesquisas Físicas, CNPq/CBPF, Rua Dr. Xavier Sigaud 150, Urca, 22290 Rio de Janeiro, RJ, Brazil |
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| Abstract: | A class of Bianchi IX cosmological models is shown to have chaotic gravitational collapse, due to Poincaré's homoclinic phenomena. We can program such models so that for any given positive integer N (N=∞ included) the universe undergoes N non-periodic oscillations (each oscillation requiring a long time) before collapsing. For N=∞ the universe undergoes periodic oscillations. |
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