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Title: Non-Abelian Einstein-Born-Infeld-dilaton cosmology

Abstract

The non-Abelian Einstein-Born-Infeld-dilaton theory, which rules the dynamics of tensor-scalar gravitation coupled to a su(2)-valued gauge field ruled by Born-Infeld Lagrangian, is studied in a cosmological framework. The microscopic energy exchange between the gauge field and the dilaton which results from a nonuniversality of the coupling to gravity modifies the usual behavior of tensor-scalar theories coupled to matter fluids. General cosmological evolutions are derived for different couplings to gravitation and a comparison to universal coupling is highlighted. Evidences of cosmic acceleration are presented when the evolution is interpreted in the Jordan physical frame of a matter respecting the weak equivalence principle. The importance for the mechanism of cosmic acceleration of the dynamics of the Born-Infeld gauge field, the attraction role of the matter fluid, and the nonuniversality of the gravitational couplings are briefly outlined.

Authors:
;  [1]
  1. Laboratory Universe and Theories, Observatoire de Paris-Meudon and Universite Paris 7, CNRS UMR 8102, Meudon (France)
Publication Date:
OSTI Identifier:
20795712
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.73.023520; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACCELERATION; BORN-INFELD THEORY; COMPARATIVE EVALUATIONS; COSMOLOGY; COUPLING; ENERGY TRANSFER; EQUIVALENCE PRINCIPLE; GAUGE INVARIANCE; GRAVITATION; LAGRANGIAN FUNCTION; QUANTUM GRAVITY; SCALARS; SU-2 GROUPS; TENSORS

Citation Formats

Fuezfa, A., and Alimi, J.-M.. Non-Abelian Einstein-Born-Infeld-dilaton cosmology. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.73.0.
Fuezfa, A., & Alimi, J.-M.. Non-Abelian Einstein-Born-Infeld-dilaton cosmology. United States. doi:10.1103/PHYSREVD.73.0.
Fuezfa, A., and Alimi, J.-M.. Sun . "Non-Abelian Einstein-Born-Infeld-dilaton cosmology". United States. doi:10.1103/PHYSREVD.73.0.
@article{osti_20795712,
title = {Non-Abelian Einstein-Born-Infeld-dilaton cosmology},
author = {Fuezfa, A. and Alimi, J.-M.},
abstractNote = {The non-Abelian Einstein-Born-Infeld-dilaton theory, which rules the dynamics of tensor-scalar gravitation coupled to a su(2)-valued gauge field ruled by Born-Infeld Lagrangian, is studied in a cosmological framework. The microscopic energy exchange between the gauge field and the dilaton which results from a nonuniversality of the coupling to gravity modifies the usual behavior of tensor-scalar theories coupled to matter fluids. General cosmological evolutions are derived for different couplings to gravitation and a comparison to universal coupling is highlighted. Evidences of cosmic acceleration are presented when the evolution is interpreted in the Jordan physical frame of a matter respecting the weak equivalence principle. The importance for the mechanism of cosmic acceleration of the dynamics of the Born-Infeld gauge field, the attraction role of the matter fluid, and the nonuniversality of the gravitational couplings are briefly outlined.},
doi = {10.1103/PHYSREVD.73.0},
journal = {Physical Review. D, Particles Fields},
number = 2,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}
  • 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 {alpha}{sup '}) 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 ofmore » 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.« less
  • When the action is replaced by the Born-Infeld-type non-Abelian action (NBI), a chaos-order transition is observed in the high energy region for a Bianchi I cosmology with the homogeneous SU(2) Yang-Mills field. This is interpreted as a smothering effect due to (non-perturbative in {alpha}') string corrections to the classical EYM action. We give a numerical evidence for the chaos-order transition and present an analytical proof of regularity of color oscillations in the limit of strong Born-Infeld non-linearity.
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