ACCELERATION AND DECELERATION IN COSMOLOGY WITH SPINOR AND SCALAR FIELDS NON-MINIMALLY COUPLED TO F(R) GRAVITY
The solution to the current extending Universe problem, and the description of all stages of evolution compels scientists to consider various cosmological models. We combine two different approaches to the description of dark energy: modified gravity theory and introduction of the additional fields. We investigate the accelerating and decelerating cosmological models with non-linear spinor fields and non-minimal interaction of gravity with a scalar field. Scalar - tensor models are rather simple and also allow us to clearly define the separate stages of evolution. We explained the role of scalar and spinor potentials for emergence of accelerating or decelerating cosmology.
Keywords: cosmological model, non-minimally interactions, scalar field, spinor field
References:
[1] S. Perlmutter et al., Nature 404, 955 (2000); C. L. Bennett et al., Astrophys. J. Suppl. 148, 1 (2003) arXiv: astroph/0302207; N.W. Halverson et al., Ap.J. 568, 38 (2002), arXiv: astro-ph/0104489; I. Brevik, V. V. Obukhov, A. V. Timoshkin, TSPU Bulletin. 13, (128), p. 42-45, (2012) arXiv: gr-qc/1303.5669.
[2] D. Clowe, M. Bradac, A. H. Gonzalez, M. Markevitch, S. W. Randall, C. Jones and D. Zaritsky, Astrophys. J. 648, L109 (2006), astro-ph/0608407; G. Bertone, D. Hooper and J. Silk, Phys. Rept. 405, 279 (2005), hep-ph/0404175.
[3] S. Nojiri and S. D. Odintsov, Phys. Lett. B599, 137 (2004) arXiv: astro-ph/0403622; S. Nojiri and S. D. Odintsov, Phys. Rev. D 68, 123512 (2003) arXiv: hep-th/0307288; G. Allemandi, A. Borowiec, M. Francaviglia, and S. D. Odintsov, Phys. Rev. D 72, 063505 (2005) arXiv: gr-qc/0504057; K. Bamba, A. Lopez-Revelles, R. Myrzakulov, S. D. Odintsov and L. Sebastiani. TSPU Bulletin. 13, (128), p. 22-27, (2012) arXiv: gr-qc/1301.3049.
[4] K. Bamba, S. Capozziello, S. Nojiri and S. D. Odintsov, Astrophys. and Space Sc., 342:155-228 (2012) arXiv: 1205.3421 [gr-qc].
[5] S. Nojiri and S. D. Odintsov, Int. J. Geom. Meth. Mod. Phys. 4, 115-146 (2007) arXiv:hep-th/0601213; S. Nojiri and S. D. Odintsov, J. Phys. Conf. Ser. 66, 012005 (2007) arXiv: hep-th/0611071.
[6] S. Nojiri, S. D. Odintsov, Phys. Rept., 505, 59-144, (2011) arXiv: 1011.0544 [gr-qc].
[7] Emilio Elizalde, Shin’ichi Nojiri, Sergei D. Odintsov, Phys.Rev. D 70, 043539 (2004), [arXiv:hep-th/0405034].
[8] S. Capozziello, J. Matsumoto, S. Nojiri, S. D. Odintsov, Phys. Lett. B 693, 198 (2010), arXiv:1004.3691 [hep-th]; S. Capozziello, A. N. Makarenko, S. D. Odintsov, Phys. Rev. D 87, 084037 (2013), arXiv:1302.0093 [gr-qc]; S. Capozziello, M.Francaviglia, A. N. Makarenko, arXiv:1304.5440 [gr-qc].
[9] C. Armendariz-Picon and P. B. Greene, Gen. Rel. Grav. 35, 1637 (2003).
[10] M. O. Ribas, F. P. Devecchi and G. M. Kremer, Phys. Rev. D 72, 123502 (2005), arXiv:0511099 [gr-qc].
[11] A. N. Makarenko, V. V. Obukhov, Entropy 14, 1140 (2012), arXiv:1207.0589 [gr-qc].
[12] R. Rakhi, G. V. Vijayagovindan, N. P. Abraham and K. Indulekha, Int. J. Mod. Phys. A 25, 1267 (2010), arXiv:0910.3761 [hep-ph]; T. Watanabe, arXiv:0902.1392 [astro-ph.CO]; V. G. Bagrov, A. N. Makarenko, V. V. Obukhov, K. E. Osetrin, Grav.Cosmol.Suppl. 8, N2, 3-5 (2002); A. N. Makarenko, V. V. Obukhov, Russ. Phys. J. 41, 1124-1133 (1998).
[13] T. Inagaki, Yu. Rybalov, Eur. Phys. J. C 71, 1656 (2011), arXiv:1102.5036 [hep-ph].
[14] K. E. Osetrin, Yu. A. Rybalov. Rus. Phys. J., 55, 1416 - 1424, (2013).
[15] Y. Q. Gu, Int. J. Mod. Phys. A 22, 4667 (2007), arXiv:0610147[gr-qc]; C. G. Boehmer and D. F. Mota, Phys. Lett. B 663, 168 (2008), arXiv:0710.2003 [astro-ph].
[16] I. L. Buchbinder, S. D. Odintsov and I. L. Shapiro, Effective Action in Quantum Gravity, IOP 1992.
[17] Yu. A. Rybalov, A. N. Makarenko, K. E. Osetrin. Astroph. Space Sc., 349, N1, 561-566 (2014) arXiv: 1310.2505.
[18] S. V. Sushkov, Phys. Rev. D80, 103505 (2009) arXiv: 0910.0980 [gr-qc].
[19] E. N. Saridakis and S. V. Sushkov, Phys. Rev. D81, 083510 (2010) arXiv: 1002.3478 [gr-qc].
[20] M. A. Skugoreva, S. V. Sushkov and A. V. Toporensky, Phys. Rev. D88, 083539 (2013) arXiv: 1306.5090 [gr-qc].
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Issue: 12, 2014
Series of issue: Issue 12
Pages: 208 — 212
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