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Realistic cosmological scenario with nonminimal kinetic coupling

Sergey V. Sushkov*

  • Institute of Mathematics and Mechanics and Institute of Physics, Kazan Federal University, Kremlevskaya Street 18, Kazan 420008, Russia
  • Physics Department, CSU Fresno, Fresno, California 93740-8031, USA

  • *sergey_sushkov@mail.ru
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Phys. Rev. D 85, 123520 – Published 14 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.123520

Abstract

We investigate cosmological scenarios in the theory of gravity with the scalar field possessing a nonminimal kinetic coupling to the curvature. It is shown that the kinetic coupling provides an essentially new inflationary mechanism. Namely, at early cosmological times the domination of coupling terms in the field equations guarantees the quasi–de Sitter behavior of the scale factor: a(t)∝eHκt with Hκ=1/9κ, where κ≃10−74  sec2 is the coupling parameter. The primary inflationary epoch driven by nonminimal kinetic coupling comes to the end at tf≃10−35  sec. Later on, the matter terms are dominating, and the Universe enters into the matter-dominated epoch which lasts approximately 0.5H0−1∼0.5×1018  sec. Then, the cosmological term comes into play, and the Universe enters into the secondary inflationary epoch with a(t)∝eHΛt, where HΛ=Λ/3. Thus, the cosmological model with nonminimal kinetic coupling represents the realistic cosmological scenario which successfully describes basic cosmological epochs and provides the natural mechanism of epoch change without any fine-tuned potential.

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References (30)

  1. G. F. Smoot et al., Astrophys. J. 396, L1 (1992); E. Komatsu et al. (WMAP Collaboration), Astrophys. J. Suppl. Ser. 192, 18 (2011).
  2. A. G. Riess et al. (Supernova Search Team Collaboration), Astron. J. 116, 1009 (1998); S. Perlmutter et al. (Supernova Cosmology Project Collaboration), Astrophys. J. 517, 565 (1999); C. L. Bennett et al., Astrophys. J. Suppl. Ser. 148, 1 (2003); M. Tegmark et al. (SDSS Collaboration), Phys. Rev. D 69, 103501 (2004); S. W. Allen, R. W. Schmidt, H. Ebeling, A. C. Fabian, and L. Van Speybroeck, Mon. Not. R. Astron. Soc. 353, 457 (2004); R. Kessler et al., Astrophys. J. Suppl. Ser. 185, 32 (2009); R. Amanullah et al. (Supernova Cosmology Project), Astrophys. J. 716, 712 (2010); N. Susuki et al. (Supernova Cosmology Project), 746, 85 (2012).
  3. D. J. Eisenstein et al., Astrophys. J. 633, 560 (2005); N. Padmanabhan et al., Mon. Not. R. Astron. Soc. 378, 852 (2007); E. Gaztanaga, A. Cabre, and L. Hui, 399, 1663 (2009); E. Kazin et al., Astrophys. J. 710, 1444 (2010); W. J. Percival et al., Mon. Not. R. Astron. Soc. 401, 2148 (2010); C. Blake et al., 418, 1707 (2011); F. Beutler, C. Blake, M. Colless, D. H. Jones, L. Staveley-Smith, L. Campbell, Q. Parker, W. Saunders, and F. Watson, 416, 3017 (2011).
  4. D. H. Weinberg et al., arXiv:1201.2434.
  5. B. Ratra and P. J. E. Peebles, Phys. Rev. D 37, 3406 (1988); C. Wetterich, Nucl. Phys. B302, 668 (1988); A. R. Liddle and R. J. Scherrer, Phys. Rev. D 59, 023509 (1998); I. Zlatev, L. M. Wang, and P. J. Steinhardt, Phys. Rev. Lett. 82, 896 (1999); Z. K. Guo, N. Ohta, and Y. Z. Zhang, Mod. Phys. Lett. A 22, 883 (2007); S. Dutta, E. N. Saridakis, and R. J. Scherrer, Phys. Rev. D 79, 103005 (2009).
  6. C. Armendariz-Picon, V. Mukhanov, and P. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000); T. Chiba, T. Okabe, and M. Yamaguchi, Phys. Rev. D 62, 023511 (2000).
  7. N. Arkani-Hamed, H. Cheng, M. Luty, and S. Mukohyama, J. High Energy Phys. 05 (2004) 074.
  8. G. Dvali, G. Gabadadze, and M. Porrati, Phys. Lett. B 485, 208 (2000).
  9. S. M. Carroll, V. Duvvuri, M. Trodden, and M. S. Turner, Phys. Rev. D 70, 043528 (2004).
  10. V. Sahni and A. Starobinsky, Int. J. Mod. Phys. D 9, 373 (2000).
  11. P. Peebles and B. Ratra, Rev. Mod. Phys. 75, 559 (2003).
  12. S. Nobbenhuis, Found. Phys. 36, 613 (2006).
  13. E. J. Copeland, M. Sami, and S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006).
  14. R. R. Caldwell and M. Kamionkowski, Annu. Rev. Nucl. Part. Sci. 59, 397 (2009).
  15. A. Silvestri and M. Trodden, Rep. Prog. Phys. 72, 096901 (2009).
  16. T. Clifton, P. G. Ferreira, A. Padilla, and C. Skordis, Phys. Rep. 513, 1 (2012).
  17. L. Amendola and S. Tsujikawa, Dark Energy: Theory and Observations (Cambridge University Press, Cambridge, England, 2010).
  18. V. Sahni and S. Habib, Phys. Rev. Lett. 81, 1766 (1998); S. Sen and A. A. Sen, Phys. Rev. D 63, 124006 (2001); T. Chiba, 60, 083508 (1999); F. Perrotta, C. Baccigalupi, and S. Matarrese, 61, 023507 (1999); E. Elizalde, S. Nojiri, and S. Odintsov, 70, 043539 (2004); V. K. Onemli and R. P. Woodard, 70, 107301 (2004); E. Elizalde, S. Nojiri, S. D. Odintsov, D. Sáez-Gómez, and V. Faraoni, 77, 106005 (2008).
  19. V. Faraoni, Phys. Rev. D 68, 063508 (2003); S. Nojiri, S. D. Odintsov, and M. Sami, 74, 046004 (2006); M. Szydlowski, O. Hrycyna, and A. Kurek, 77, 027302 (2008); M. R. Setare and E. N. Saridakis, Phys. Lett. B 671, 331 (2009); J. Cosmol. Astropart. Phys. 03 (2009) 002.
  20. A. R. Liddle and R. J. Scherrer, Phys. Rev. D 59, 023509 (1998); V. Faraoni, 62, 023504 (2000); N. Bartolo and M. Pietroni, 61, 023518 (1999); O. Bertolami and P. J. Martins, 61, 064007 (2000); R. de Ritis, A. A. Marino, C. Rubano, and P. Scudellaro, 62, 043506 (2000); T. D. Saini, S. Raychaudhury, V. Sahni, and A. A. Starobinsky, Phys. Rev. Lett. 85, 1162 (2000); G. Gupta, E. N. Saridakis, and A. A. Sen, Phys. Rev. D 79, 123013 (2009).
  21. B. Boisseau, G. Esposito-Farese, D. Polarski, and A. A. Starobinsky, Phys. Rev. Lett. 85, 2236 (2000); G. Esposito-Farese and D. Polarski, Phys. Rev. D 63, 063504 (2001).
  22. L. Amendola, Phys. Lett. B 301, 175 (1993).
  23. S. Capozziello and G. Lambiase, Gen. Relativ. Gravit. 31, 1005 (1999); S. Capozziello, G. Lambiase, and H. J. Schmidt, Ann. Phys. (Berlin) 9, 39 (2000); S. F. Daniel and R. R. Caldwell, Classical Quantum Gravity 24, 5573 (2007).
  24. C. Gao, J. Cosmol. Astropart. Phys. 06 (2010) 023; L. N. Granda and W. Cardona, 07 (2010) 021; L. N. Granda, Classical Quantum Gravity 28, 025006 (2011); J. Cosmol. Astropart. Phys. 04 (2011) 016; L. N. Granda, E. Torrente-Lujan, and J. J. Fernandez-Melgarejo, Eur. Phys. J. C 71, 1704 (2011); L. N. Granda, arXiv:1109.1371; Mod. Phys. Lett. A 27, 1250018 (2012); H. Mohseni Sadjadi, Phys. Rev. D 83, 107301 (2011); A. Banijamali and B. Fazlpour, Phys. Lett. B 703, 366 (2011); G. Gubitosi and E. V. Linder, 703, 113 (2011).
  25. J.-P. Bruneton et al., arXiv:1203.4446.
  26. S. V. Sushkov, Phys. Rev. D80, 103505 (2009).
  27. E. N. Saridakis and S. V. Sushkov, Phys. Rev. D 81, 083510 (2010).
  28. S. Sushkov and R. Korolev, Classical Quantum Gravity 29, 085008 (2012).
  29. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1961).
  30. V. Mukhanov, Physical Foundations of Cosmology (Cambridge University Press, Cambridge, England, 2005).

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Phys. Rev. D 85, 123520– Published 14 June, 2012
  • Received 27 April 2012

© 2012 American Physical Society

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