Abstract
The field equations derived from the low energy string effective action with a matter tensor describing a perfect fluid with a barotropic equation of state are solved iteratively using the long-wavelength approximation, i.e. the field equations are expanded by the number of spatial gradients. In the zero order, a quasi-isotropic solution is presented and compared with the general solution of the pure dilaton gravity. Possible cosmological models are analyzed from the point of view of the pre-big bang scenario. The second order solutions are found and their growing and decaying parts are studied.
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Kuusk, P., Saal, M. Long-Wavelength Approximation for String Cosmology with Barotropic Perfect Fluid. General Relativity and Gravitation 34, 2135–2148 (2002). https://doi.org/10.1023/A:1021191619689
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DOI: https://doi.org/10.1023/A:1021191619689