Qualitative and numerical analysis of a cosmological model based on a phantom scalar field with self-interaction


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Abstract

We investigate the asymptotic behavior of a cosmological model based on a phantom scalar field by qualitative analysis of the set of differential equations. We show that, as opposed to models with a classical scalar field, such models have stable asymptotic solutions with a constant value of the potential both in the infinite past and the infinite future. We also develop numerical models of the cosmological evolution with a phantom scalar field.

About the authors

Yu. G. Ignat’ev

Kazan Federal University

Author for correspondence.
Email: ignatev-yurii@mail.ru
Russian Federation, Kremlyovskaya 35, Kazan, 420008

A. A. Agathonov

Kazan Federal University

Email: ignatev-yurii@mail.ru
Russian Federation, Kremlyovskaya 35, Kazan, 420008


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