Nontrivial Dynamics in the Early Stages of Inflation

Details Nontrivial Dynamics in the Early Stages of Inflation Nontrivial Dynamics in the Early Stages of Inflation

1994-08-05

arxiv.org/abs/gr-qc/9408010v1

Phys.Rev. D51 (1995) 2713-2728

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, Latex, 9 Figures available on request, GTCRG-94-12

Scientific paper

10.1103/PhysRevD.51.2713

Inflationary cosmologies, regarded as dynamical systems, have rather simple asymptotic behavior, insofar as the cosmic baldness principle holds. Nevertheless, in the early stages of an inflationary process, the dynamical behavior may be very complex. In this paper, we show how even a simple inflationary scenario, based on Linde's ``chaotic inflation'' proposal, manifests nontrivial dynamical effects such as the breakup of invariant tori, formation of cantori and Arnol'd's diffusion. The relevance of such effects is highlighted by the fact that even the occurrence or not of inflation in a given Universe is dependent upon them.

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