Generic and nongeneric world models.

Mathematics – Logic

Scientific paper

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Cosmology:General Relativity, General Relativity:Cosmology

Scientific paper

Catastrophe theory methods are employed to obtain a new classification of those world models which can be presented in the form of gradient dynamical systems. Generic sets and structural stability of models in the potential space are strictly defined. It is shown that if a cosmological model is required to be Friedmann and generic, it must be flat.

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