Asymptotic Behavior of the Einstein-Yang-Mills-Dilaton System for a Closed Friedmann-Lemaitre Universe

Details Asymptotic Behavior of the Einstein-Yang-Mills-Dilaton System for a Closed Friedmann-Lemaitre Universe Asymptotic Behavior of the Einstein-Yang-Mills-Dilaton System for a Closed Friedmann-Lemaitre Universe

1996-02-18

arxiv.org/abs/gr-qc/9602037v1

Nucl.Phys. B474 (1996) 461-480

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, Uuencoded gzip compressed tar file containing a latex file and 12 figures. The epsfig.sty is needed

Scientific paper

10.1016/0550-3213(96)00267-2

We study the coupled Einstein-Yang-Mills-Dilaton (EYMD) equations for a Fried\-mann-Le\-mai\-tre universe with constant curvature $k=1$. Our detailed analysis is restricted to the case where the dilaton potential and the cosmological constant vanish. Also assuming a static gauge field, we present analytical and numerical results on the behavior of solutions of the EYMD equations. For different values of the dilaton coupling constant we analyze the phase portrait for the time evolution of the dilaton field and give the behavior of the scale factor. It turns out that there are no inflationary stages in this model.

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