Structural instability of Friedmann-Robertson-Walker cosmological models

Abstract

Cosmological singularity and asymptotic behaviour of scale factor of generalized cosmological models are analyzed in respect of their structural stability. It is shown, that cosmological singularity is structurally unstable for the majority of models with barotropic perfect fluid with strong energy condition. Inclusion of Lambda-term extends the set of structurally stable cosmological models.

14 pages, 4 figures in TeXCad, developed version of talk, presented at XIII Russian Gravitational Conference, June 2008, to be published in GRG, minor changes concerning added references

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