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International Journal of Theoretical Physics

, Volume 51, Issue 9, pp 2813–2829 | Cite as

Late Time Cosmological Scenarios from Scalar Field with Gauss Bonnet and Non-minimal Kinetic Couplings

  • L. N. Granda
Article

Abstract

We study a model of scalar field with non minimal kinetic Gauss Bonnet couplings. A variety of solutions giving rise to different cosmological scenarios were found. A solution unifying early time matter (radiation) dominance with transitions to late time quintessence and phantom phases have been found. Among others, we reconstructed solutions unifying asymptotically the early power law behavior and late time cosmological constant. The reconstruction is also applied to Chaplygin and generalized Chaplygin gas cosmologies.

Keywords

Kinetic coupling Gauss-Bonnet coupling Dark energy 

References

  1. 1.
    Riess, A.G., et al.: Astron. J. 116, 1009 (1998) ADSCrossRefGoogle Scholar
  2. 2.
    Riess, A.G., et al.: Astron. J. 117, 707 (1999) ADSCrossRefGoogle Scholar
  3. 3.
    Perlmutter, S., et al.: Nature 391, 51 (1998) ADSCrossRefGoogle Scholar
  4. 4.
    Kowalski, M., et al.: Astrophys. J. 686, 749 (2008). arXiv:0804.4142 ADSCrossRefGoogle Scholar
  5. 5.
    Hicken, M., et al.: Astrophys. J. 700, 1097 (2009). arXiv:0901.4804 [astro-ph.CO] ADSCrossRefGoogle Scholar
  6. 6.
    Komatsu, E., et al. (WMAP Collaboration): Astrophys. J. Suppl. 180, 330 (2009). arXiv:0803.0547 [astro-ph] ADSCrossRefGoogle Scholar
  7. 7.
    Percival, W.J., et al.: Mon. Not. R. Astron. Soc. 401, 2148 (2010). arXiv:0907.1660 [astro-ph.CO] ADSCrossRefGoogle Scholar
  8. 8.
    Peebles, P.J.E., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003). arXiv:astro-ph/0207347 MathSciNetADSMATHCrossRefGoogle Scholar
  9. 9.
    Padmanabhan, T.: Phys. Rep. 380, 235 (2003). arXiv:hep-th/0212290 MathSciNetADSMATHCrossRefGoogle Scholar
  10. 10.
    Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753–1936 (2006). arXiv:hep-th/0603057 MathSciNetADSMATHCrossRefGoogle Scholar
  11. 11.
    Sahni, V.: Lect. Notes Phys. 653, 141–180 (2004). arXiv:astro-ph/0403324v3 ADSGoogle Scholar
  12. 12.
    Padmanabhan, T.: Phys. Rep. 380, 235 (2003). arXiv:hep-th/0212290 MathSciNetADSMATHCrossRefGoogle Scholar
  13. 13.
    Perivolaropoulos, L.: J. Cosmol. Astropart. Phys. 0510, 001 (2005). arXiv:astro-ph/0504582 ADSCrossRefGoogle Scholar
  14. 14.
    Fujii, Y., Maeda, K.I.: The Scalar-Tensor Theory of Gravitation. Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge (2007). ISBN:0521037522 MATHGoogle Scholar
  15. 15.
    Nojiri, S., Odintsov, S.D.: Phys. Rep. 505, 59 (2011). arXiv:1011.0544 [gr-qc] MathSciNetADSCrossRefGoogle Scholar
  16. 16.
    Granda, L.N.: J. Cosmol. Astropart. Phys. 07, 006 (2010). arXiv:0911.3702 [hep-th] ADSCrossRefGoogle Scholar
  17. 17.
    Granda, L.N., Cardona, W.: J. Cosmol. Astropart. Phys. 07, 021 (2010). arXiv:1005.2716 [hep-th] ADSCrossRefGoogle Scholar
  18. 18.
    Sushkov, S.V.: Phys. Rev. D 80, 103505 (2009). arXiv:0910.0980 MathSciNetADSCrossRefGoogle Scholar
  19. 19.
    Granda, L.N.: Class. Quantum Gravity 28, 025006 (2011). arXiv:1009.3964 [hep-th] MathSciNetADSCrossRefGoogle Scholar
  20. 20.
    Gao, C.: J. Cosmol. Astropart. Phys. 06, 023 (2010). arXiv:1002.4035 [gr-qc] ADSCrossRefGoogle Scholar
  21. 21.
    Granda, L.N., Torrente-Lujan, E., Fernandez-Melgarejo, J.J.: Eur. Phys. J. C 71, 1704 (2011). arXiv:1106.5482 [hep-th] ADSCrossRefGoogle Scholar
  22. 22.
    Nojiri, S., Odintsov, S.D., Sasaki, M.: Phys. Rev. D 71, 123509 (2005). arXiv:hep-th/0504052 ADSCrossRefGoogle Scholar
  23. 23.
    Tsujikawa, S., Sami, M.: J. Cosmol. Astropart. Phys. 0701, 006 (2007). arXiv:hep-th/0608178 ADSCrossRefGoogle Scholar
  24. 24.
    Leith, B.M., Neupane, I.P.: J. Cosmol. Astropart. Phys. 0705, 019 (2007). arXiv:hep-th/0702002 MathSciNetADSCrossRefGoogle Scholar
  25. 25.
    Brown, R.A., Maartens, R., Papantonopoulos, E., Zamarias, V.: J. Cosmol. Astropart. Phys. 0511, 008 (2005). arXiv:gr-qc/0508116 ADSCrossRefGoogle Scholar
  26. 26.
    Nojiri, S., Odintsov, S.D.: Phys. Lett. B 631, 1 (2005). arXiv:hep-th/0508049 MathSciNetADSCrossRefGoogle Scholar
  27. 27.
    Nojiri, S., Odintsov, S.D., Sami, M.: Phys. Rev. D 74, 046004 (2006). arXiv:hep-th/0605039 ADSCrossRefGoogle Scholar
  28. 28.
    Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S.: Phys. Rev. D 73, 084007 (2006). arXiv:hep-th/0601008 ADSCrossRefGoogle Scholar
  29. 29.
    Nojiri, S., Odintsov, S.D., Ogushi, S.: Int. J. Mod. Phys. A 17, 4809 (2002) MathSciNetADSMATHCrossRefGoogle Scholar
  30. 30.
    Neupane, I.P., Carter, B.M.N.: J. Cosmol. Astropart. Phys. 0606, 004 (2006). arXiv:hep-th/0512262 ADSCrossRefGoogle Scholar
  31. 31.
    Nojiri, S., Odintsov, S.D., Tretyakov, P.V.: Phys. Lett. B 651, 224 (2007). arXiv:0704.2520 [hep-th] MathSciNetADSCrossRefGoogle Scholar
  32. 32.
    Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007) MathSciNetMATHCrossRefGoogle Scholar
  33. 33.
    Amendola, L., Charmousis, C., Davis, S.C.: J. Cosmol. Astropart. Phys. 0612, 020 (2006). arXiv:hep-th/0506137 ADSCrossRefGoogle Scholar
  34. 34.
    Metsaev, R., Tseytlin, A.: Nucl. Phys. B 293, 385 (1987) MathSciNetADSCrossRefGoogle Scholar
  35. 35.
    Cartier, C., Hwang, J.-c., Copeland, E.J.: Phys. Rev. D 64, 103504 (2001). arXiv:astro-ph/0106197 MathSciNetADSCrossRefGoogle Scholar
  36. 36.
    Capozziello, S., Lambiase, G.: Gen. Relativ. Gravit. 31, 1005 (1999). arXiv:gr-qc/9901051 MathSciNetADSMATHCrossRefGoogle Scholar
  37. 37.
    Farhoudi, M.: Gen. Relativ. Gravit. 41, 117 (2009). arXiv:gr-qc/9510060 MathSciNetADSMATHCrossRefGoogle Scholar
  38. 38.
    Bento, M.C., Bertolami, O.: Phys. Lett. B 368, 198 (1996). arXiv:gr-qc/9503057 MathSciNetADSCrossRefGoogle Scholar
  39. 39.
    Nojiri, S., Odintsov, S.D.: Phys. Rev. D 70, 103522 (2004). arXiv:hep-th/0408170 MathSciNetADSCrossRefGoogle Scholar
  40. 40.
    Chimento, L.P., Lazkoz, R.: Mod. Phys. Lett. A 19, 2479 (2004). arXiv:gr-qc/0405020 MathSciNetADSMATHCrossRefGoogle Scholar
  41. 41.
    Bamba, K., Odintsov, S.D., Sebastiani, L., Zerbini, S.: Eur. Phys. J. C 67, 295 (2010). arXiv:0911.4390 [hep-th] ADSCrossRefGoogle Scholar
  42. 42.
    Kamenshchik, A.Y., Moschella, U., Pasquier, V.: Phys. Lett. B 511, 265 (2001). arXiv:gr-qc/0103004 ADSMATHCrossRefGoogle Scholar
  43. 43.
    Bilic, N., Tupper, G.B., Viollier, R.D.: Phys. Lett. B 535, 17 (2002). arXiv:astro-ph/0111325 ADSMATHCrossRefGoogle Scholar
  44. 44.
    Bento, M.C., Bertolami, O., Sen, A.A.: Phys. Rev. D 66, 043507 (2002). arXiv:gr-qc/0202064 ADSCrossRefGoogle Scholar
  45. 45.
    Nojiri, S., Odintsov, S.D., Saez-Gomez, D.: Phys. Lett. B 681, 74 (2009). arXiv:0908.1269 [hep-th] MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Departamento de FisicaUniversidad del ValleCaliColombia

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