Nontrivial dynamics in the early stages of inflation

E. Calzetta and C. El Hasi
Phys. Rev. D 51, 2713 – Published 15 March 1995
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Abstract

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, the formation of cantori, and Arnol’d’s diffusion. The relevance of such effects is highlighted by the facts that even the occurrence or nonoccurrence of inflation in a given universe is dependent upon them.

  • Received 15 August 1994

DOI:https://doi.org/10.1103/PhysRevD.51.2713

©1995 American Physical Society

Authors & Affiliations

E. Calzetta and C. El Hasi

  • Instituto de Astronomía y Física del Espacio, Casilla de Correo No. 67, Sucursal 28, 1428 Buenos Aires, Buenos Aires, Argentina
  • Departamento de Física, Universidad de Buenos Aires, 1428 Buenos Aires, Buenos Aires, Argentina

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Vol. 51, Iss. 6 — 15 March 1995

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