Geodesic
Cosmological models with scalar fields
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2020), pp. 97-111

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We suggest a cosmological model with two real scalar fields $\phi_1$ and $\phi_2$, which play the role of both dark matter and dark energy. The field $\phi_1$ is interpreted as dark matter, because the corresponding effective pressure $p_1$ equals zero. When we choose a suitable potential $V(\phi_1)$, the model can reproduce the classical Friedmann solutions with any curvature sign and also the correspondent solutions of the $\Lambda$CDM and $w$CDM models. The suggested model describes interaction of the dark components (scalar fields) in a natural way via their common potential $V(\phi_1,\phi_2)$. We determined a connection between the potential and a type of interaction, studied different variants of this interaction.
Keywords: cosmological model, scalar field, dark matter, dark energy, interaction. 
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     author = {E. G. Vorontsova and G. S. Sharov},
     title = {Cosmological models with scalar fields},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {97--111},
     publisher = {mathdoc},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2020_1_a6/}
}
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E. G. Vorontsova; G. S. Sharov. Cosmological models with scalar fields. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2020), pp. 97-111. http://geodesic.mathdoc.fr/item/VTPMK_2020_1_a6/