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Generic and nongeneric world models

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Abstract

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 Friedman and generic, it must be flat.

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Golda, Z.A., Szydlowski, M. & Heller, M. Generic and nongeneric world models. Gen Relat Gravit 19, 707–718 (1987). https://doi.org/10.1007/BF00766277

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