Abstract
Cosmological evolution is investigated within the framework of low-energy string gravitation with higher-loop corrections to the dilaton coupling functions in the presence of a dilaton potential and a nongravitational source. It is shown that for homogeneous and isotropic models with a flat space, the cosmological system of equations reduces to an autonomous, third-order, dynamical system. Subclasses of models with a constant dilaton, which provide the basis for various cosmological mechanisms of dilaton stabilization, are considered. A class of solutions is distinguished with asymptotic scaling behavior of the energy density of the dilaton field.
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Saharian, A.A. Cosmological Evolution of String Effective Gravitation with a Dilaton Potential and Higher-Loop Corrections. I. Astrophysics 45, 380–391 (2002). https://doi.org/10.1023/A:1020104003664
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DOI: https://doi.org/10.1023/A:1020104003664