Qualitative analysis of higher-loop string cosmology. I.

Mathematics – Logic

Scientific paper

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Cosmology: String Theory

Scientific paper

By using the qualitative methods the homogeneous and isotropic cosmological models are investigated within the framework of low-energy string gravity with higher-loop corrections to the dilaton coupling functions. The barotropic perfect fluid is considered as a nongravitational source. For the general case of curved models the cosmological equations are presented in the form of third order autonomous dynamical system. For flat models the phase portraits are presented for various dilaton coupling functions including the tree level case. The asymptotic behavior of the general solution is investigated in different limiting regions. The dilaton stabilization by using the Damour-Polyakov mechanism is considered.

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