IKBFU's Vestnik

2018 Issue №01

Back to the list Download an article

The dynamics of chiral cosmological fields in the canonical phantom model



The latest results of space and ground-based mission WMAP, Planck, BICEP2 discussed widely by the scientific community and indicate the need for research on new models of inflation, other than the basic model of inflation, based on a single self-interacting scalar field. In this paper we consider the inflationary model based on chiral cosmological model, which takes into account the various forms of kinetic interaction between the phantom and the canonical field. This study determines the dynamics and interaction of the fields in the short time at the stage of early inflation, when the potential fields of cooperation remains constant (as seen in the model of the "new" inflation). We present a general algorithm for solving dynamic equations on chiral (scalar) fields and examine special cases when it is possible to find a solution in elementary functions.


1. Ade P. A. R., Aghanim N., Arnaud M. et al. (Planck Collaboration). Planck 2015 results. XIII. Cosmological parameters // Astron. Astrophys. 2016. Vol. 594. URL: https://arxiv.org/pdf/1502.01589.pdf (дата обращения: 04.04.2018).
2. Ade P. A. R., Aikin R. W., Barkats D. et al. (BICEP2 Collaboration). Detection of B-Mode Polarization at Degree Angular Scales by BICEP2 // Phys. Rev. Lett. 2014. Vol. 112, № 24. URL: https://arxiv.org/pdf/1403.3985.pdf (дата обращения: 04.04.2018).
3. Linde A. Inflationary Cosmology after Planck 2013. URL: https://arxiv.org/pdf/1402.0526.pdf (дата обращения: 04.04.2018).
4. Liddle A. R., Lyth D. H. Cosmological inflation and large scale structure. Cambridge, 2000.
5. Baumann D., Peiris H. Cosmological Inflation: Theory and Observations // Adv. Sci. Lett. 2009. Vol. 2. P. 105—120.
6. Costa F. E. M., Alcaniz J. S., Jain D. An interacting model for the cosmological dark sector // Phys. Rev. 2012. Vol. 85, № 10. URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.85.107302 (дата обращения: 04.04.2018).
7. Böhmer Ch. G., Caldera-Cabral G., Lazkoz R., Maartens R. Dynamics of dark energy with a coupling to dark matter // Phys. Rev. D. 2008. Vol. 78, № 2. URL: https://arxiv.org/pdf/0801.1565.pdf (дата обращения: 04.04.2018).
8. Nozari K., Behrouz N. An Interacting Dark Energy Model with Nonminimal Derivative Coupling // Phys. Dark Univ. 2016. Vol. 13, № 92. URL: https://arxiv.org/pdf/1605.06028.pdf (дата обращения: 04.04.2018).
9. Bertolami O., Carrilho P., Paramos J. Two-scalar-field model for the interaction of dark energy and dark matter // Phys. Rev. 2012. Vol. 86, № 10. URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.86.103522 (дата обращения: 04.04.2018).
10. Aviles A., Cervantes-Cota J. L. Dark matter from dark energybaryonic matter couplings // Phys. Rev. 2011. Vol. 83, № 2. URL: https://arxiv.org/pdf/1012.3203.pdf (дата обращения: 04.04.2018).
11. Червон С. В., Аббязов Р. Р., Крюков С. В. Динамика киральных космологических полей в фантомно-канонической модели // Известия вузов. Сер. Физика. 2015. Т. 58, № 5. С. 13—19.
12. Chervon S. V. Chiral Cosmological Models: Dark Sector Fields Description // Quantum Matter. 2013. Vol. 2, № 71—82.
13. Beesham A., Chervon S. V., Maharaj S. D., Kubasov A. S. An Emergent Universe with Dark Sector Fields in a Chiral Cosmological Model // Quantum Matter. 2013. Vol. 2. P. 388—395.
14. Mukhanov V. F., Feldman H. A., Brandenberger R. H. The theory of cosmological perturbations // Phys. Rep. 1992. Vol. 215, iss. 5—6. P. 203—333.
15. Фомин И. В. Гравитационные волны в конформно-плоских пространствах // Вестник Мовсковского государственного технологического университета им. Н. Э. Баумана. Сер. Естественные науки. 2016. № 4. С. 65—78.
16. Chervon S. V., Novello M., Triay R. Exact cosmology and specification of an inflationary scenario // Grav. Cosmol. 2005. Vol. 11. P. 329—332.
17. Chervon S. V., Fomin I. V. On calculation of the cosmological parameters in exact models of inflation // Grav. Cosmol. 2008. Vol. 14. P. 163.