Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999ap.....42..222s&link_type=abstract
Astrophysics, Volume 42, Issue 2, pp.222-233
Astronomy and Astrophysics
Astrophysics
Scientific paper
Homogeneous and Isotropic cosmological models of effective string theory with a curved space are investigated by the methods of the qualitative theory of dynamical systems. It is shown that for radiation-dominated models, tthe corresponding dynamical system can be integrated exactly for the general case of dilaton coupling functions. Models in the tree approximation with a two-dimensional phase space are considered separately. In the general case of loop corrections, all possible stationary points are found and their character is determined. The results are illustrated using a specific example. Various cases of fixing the dilaton within the framework of the Damour-Polyakov mechanism are considered.
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