Dilaton stabilization in string cosmology. II |
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Authors: | A A Saharian |
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Institution: | (1) Yerevan State University, Armenia |
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Abstract: | A mechanism for stabilization of the dilaton field within the framework of low-energy string gravitation with loop corrections
to the dilaton coupling function was proposed in the first part of this paper. The mechanism is based on the assumption that
loop corrections generate a singular dilaton kinetic function for a certain value of the dilaton field. For a nortgravitational
source with a constant barotropic index, the system of cosmological equations reduces to an autonomous, third-order dynamical
system. The behavior of the general solution in the vicinity of singularities of the dilaton coupling function is investigated
by methods of the qualitative theory of dynamical systems for different values of the singularity index. The conditions under
which solutions with a constant dilaton are attractors for a general solution with a variable dilaton are determined. The
evolution of models is considered, the corresponding phase diagrams are constructed, and the question of the effectiveness
of dilaton stabilization is investigated.
Translated from Astrofizika, Vol. 43, No. 2, pp. 313–324, April–June, 2000. |
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Keywords: | |
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