Chaos-order transition in Bianchi type I non-Abelian Born-Infeld cosmology

Vladimir V. Dyadichev, Dmitri V. Gal’tsov, and Paulo Vargas Moniz
Phys. Rev. D 72, 084021 – Published 24 October 2005

Abstract

We investigate the Bianchi I cosmology with the homogeneous SU(2) Yang-Mills field governed by the non-Abelian Born-Infeld action. A similar system with the standard Einstein-Yang-Mills (EYM) action is known to exhibit chaotic behavior induced by the Yang-Mills field. When the action is replaced by the Born-Infeld–type non-Abelian action (NBI), the chaos-order transition is observed in the high-energy region. This is interpreted as a smothering effect due to (nonperturbative in α) string corrections to the classical EYM action. We give numerical evidence for the chaos-order transition and present an analytical proof of regularity of color oscillations in the limit of strong Born-Infeld nonlinearity. We also perform a general analysis of the Bianchi I NBI cosmology and derive an exact solution in the case of only the U(1) component excited. Our new exact solution generalizes the Rosen solution of the Bianchi I Einstein-Maxwell cosmology to the U(1) Einstein-Born-Infeld theory.

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  • Received 15 April 2005

DOI:https://doi.org/10.1103/PhysRevD.72.084021

©2005 American Physical Society

Authors & Affiliations

Vladimir V. Dyadichev* and Dmitri V. Gal’tsov

  • Department of Theoretical Physics, Moscow State University, 119899, Moscow, Russia

Paulo Vargas Moniz‡,§

  • Astronomy Unit, School of Mathematical Sciences, University of London, Mile End Road, London E1 4NS, United Kingdom

  • *Electronic address: vv.dyadichev@pisem.net
  • Electronic address: galtsov@mail.phys.msu.ru
  • Electronic address: p.moniz@qmul.ac.uk URL: http://webx.ubi.pt/~pmoniz
  • §On leave of absence from Departmento de Fisica, UBI, Covilha, Portugal. Also at Centra-IST, Lisboa, Portugal.

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Issue

Vol. 72, Iss. 8 — 15 October 2005

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