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Dynamics of Chiral Cosmological Fields in the Phantom-Canonical Model

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Russian Physics Journal Aims and scope

Recent results of the WMAP (Wilkinson Microwave Anisotropy Probe), Planck, and BICEP2 (Background Imaging of Cosmic Extragalactic Polarization) spaceborne and earth-based missions have been widely discussed by the scientific community and point to the necessity of investigating new inflation models which differ from the established inflation model based on a unitary self-acting scalar field. The present work considers an inflation model based on the chiral cosmological model which takes into account different forms of the kinetic interaction of the phantom field and the canonical field. This study sets as its goal to determine the dynamics and interaction of fields during that short time interval at the early inflation stage when the interaction potential of the fields remains constant (as has been discussed within the framework of the model of “new” inflation). A general algorithm to solve the dynamical equations in the chiral (scalar) fields is indicated and special cases are investigated in which it is possible to find solutions in terms of elementary functions. A graphical analysis of the obtained solutions makes it possible to determine special regimes of the evolution of fields that can be investigated as well-founded approximations used to calculate cosmological parameters and make comparisons with observational data.

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References

  1. A. Linde, Inflationary Cosmology after Planck 2013, arXiv: hep-th/1402.0526 v2 9 Mar 2014.

  2. A. R. Liddle and D. H. Lyth, Cosmological Inflation and Large-Scale Structure, Cambridge University Press, Cambridge, UK (2000).

    Book  Google Scholar 

  3. P. A. R. Ade et al. [Planck Collaboration], Planck 2013 Results. XXIV. Constraints on Primordial non-Gaussianity, arXiv: astro-ph./1303.5082 v2 5 Dec 2013.

  4. P. A. R. Ade, W. Aikin, D. Barkats, et al., Phys. Rev. Lett., 112, 241101 (2014).

    Article  ADS  Google Scholar 

  5. S. V. Chervon, Quantum Matter, 2, 71–82 (2013).

    Article  Google Scholar 

  6. A. D. Linde, Phys. Lett., B108, 389 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  7. R. R. Abbyazov and S. V. Chervon, Grav. Cosmol., 18, No. 4, 262–269 (2012).

    Article  ADS  Google Scholar 

  8. Cai Yi-Fu, E. N. Saridakis, M. R. Setare, and Jun-Qing Xia, Phys. Rep., 493, No. 1, 1–60 (2010).

    Article  MathSciNet  ADS  Google Scholar 

  9. A. Beesham, S. Chervon, S. Maharaj, and A. Kubasov, Quantum Matter, 2, 1–8 (2013).

    Article  Google Scholar 

  10. S. Capozziello, S. Nojiri, and S. D. Odintsov, Phys. Lett., B632, 597–604 (2006).

    Article  ADS  Google Scholar 

  11. S. V. Chervon and O. G. Panina, Issledovano v Rossii, No. 55, 650–659 (2010).

  12. S. V. Chervon, Gen. Relativ. Grav., 36, 1547–1553 (2004).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  13. S. V. Chervon, M. Novello, and R. Triay, Grav. Cosmol., 4, 329–332 (2005).

    ADS  Google Scholar 

  14. S. V. Chervon and I. V. Fomin, Grav. Cosmol., 14, No. 2, 163–167 (2008).

    Article  MATH  ADS  Google Scholar 

  15. S. V. Chervon, Nonlinear Fields in Gravitation Theory and Cosmology [in Russian], Ulyanovsk State University Press, Ulyanovsk (1997).

    Google Scholar 

  16. S. V. Chervon and O. G. Panina, Vestn. Samarsk. Gosud. Tekh. Univ., Ser. Fiz.-Mat. Nauki, No. 3(24), 129–135 (2011).

  17. E. J. Copeland, E. W. Kolb, A. R. Liddle, and L. E. Lidsey, Phys. Rev., D48, 2529–2547 (1993).

    ADS  Google Scholar 

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Correspondence to S. V. Chervon.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 13–19, May, 2015.

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Chervon, S.V., Abbyazov, R.R. & Kryukov, S.V. Dynamics of Chiral Cosmological Fields in the Phantom-Canonical Model. Russ Phys J 58, 597–605 (2015). https://doi.org/10.1007/s11182-015-0539-0

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  • DOI: https://doi.org/10.1007/s11182-015-0539-0

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