Generalized power expansions in cosmology

Abstract

It is given an algorithm to obtain generalized power asymptotic expansions of the solutions of the Einstein equations arising for several homogeneous cosmological models. This allows to investigate their behavior near the initial singularity or for large times. An implementation of this algorithm in the CAS system Maple V Release 4 is described and detailed calculations for three equations are shown.Comment: 22 pages, LaTeX, elsart.sty. To be published in Computer Physics Communications Thematic Issue "Computer Algebra in Physics Research