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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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/

[1] Ade P. A. R.et.al., “Planck 2015 results. XIII. Cosmological parameters”, Astronomy and Astrophysics, 594 (2016), A13 | DOI

[2] Ade P. A. R.et.al., Planck 2018 results. VI. Cosmological parameters, arXiv: 1807.06209

[3] Sharov G. S., Vorontsova E. G., “Cosmological model with generalized Chaplygin gas and recent astronomical observations”, Herald of Tver State University. Series: Applied Mathematics, 2014, no. 1, 21–38 (in Russian)

[4] Sharov G. S., Vorontsova E. G., “Parameters of cosmological models and recent astronomical observations”, Journal of Cosmology and Astroparticle Physics, 2014, no. 10, 057 | DOI

[5] Vorontsova E. G., Sharov G. S., “Recent estimations of astrophysical parameters and forecast of the model with modified Chaplygin gas”, Herald of Tver State University. Series: Applied Mathematics, 2015, no. 2, 7–24 (in Russian)

[6] Vorontsova E. G., Sharov G. S., “Cosmological models with integrable equations of state”, Herald of Tver State University. Series: Applied Mathematics, 2018, no. 2, 5–26 (in Russian)

[7] Sharov G. S., “Observational constraints on cosmological models with Chaplygin gas and quadratic equation of state”, Journal of Cosmology and Astroparticle Physics, 2016, no. 6, 023 | DOI

[8] Bamba K., Capozziello S., Nojiri S., Odintsov S. D., “Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests”, Astrophysics and Space Science, 342:1 (2012), 155–228 | DOI | Zbl

[9] Sharov G. S.et.al., “A new interacting two fluid model and its consequences”, Monthly Notices of the Royal Astronomical Society, 466:3 (2017), 3497–3506 | DOI

[10] Pan S., Sharov G. S., “A model with interaction of dark components and recent observational data”, Monthly Notices of the Royal Astronomical Society, 472:4 (2017), 4736–4749 | DOI

[11] Grigorieva O. A., Sharov G. S., “Multidimensional gravitational model with anisotropic pressure”, International Journal of Modern Physics D, 22:13 (2013), 1350075 | DOI | MR

[12] Odintsov S. D., Saez-Chillon Gomez.D., Sharov G. S., “Is exponential gravity a viable description for the whole cosmological history?”, The European Physical Journal C - Particles and Fields, 77 (2017), 862

[13] Odintsov S. D., Saez-Chillon Gomez.D., Sharov G. S., “Testing logarithmic corrections on $R^2$-exponential gravity by observational data”, Physical Review D, 99:2 (2019), 024003 | DOI | MR

[14] Wetterich C., “The cosmon model for an asymptotically vanishing time-dependent cosmological “constant””, Astronomy and Astrophysics, 301 (1995), 321–328

[15] Carroll S. M., “Quintessence and the Rest of the World”, Physical Review Letters, 81 (1998), 3067–3071 | DOI

[16] Amendola L., “Coupled Quintessence”, Physical Review D, 62 (2000), 043511 | DOI

[17] Elizalde E., Nojiri S., Odintsov S. D., “Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up”, Physical Review D, 70 (2004), 043539 | DOI

[18] Nojiri S., Odintsov S. D., Tsujikawa S., “Properties of singularities in (phantom) dark energy universe”, Physical Review D, 71 (2005), 063004 | DOI | MR

[19] Nojiri S., Odintsov S. D., “Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy”, General Relativity and Gravitation, 38 (2006), 1285–1304 | DOI | MR | Zbl

[20] Capozziello S., Nojiri S., Odintsov S. D., “Unified phantom cosmology: inflation, dark energy and dark matter under the same standard”, Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics, 632 (2006), 597–604