Skip to main content
SpringerLink
Log in

Dynamics of generalized tachyon field

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

We investigate the dynamics of generalized tachyon field in FRW spacetime. We obtain the autonomous dynamical system for the general case. Because the general autonomous dynamical system cannot be solved analytically, we discuss two cases in detail: β=1 and β=2. We find the critical points and study their stability. At these critical points, we also consider the stability of the generalized tachyon field, which is as important as the stability of critical points. The possible final states of the universe are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. S. Weinberg, Rev. Mod. Phys. 61, 1 (1989)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. S.M. Carroll, Living Rev. Relativ. 4, 1 (2001)

    ADS  Google Scholar 

  3. R.-J. Yang, S.N. Zhang, Mon. Not. R. Astron. Soc. 407, 1835 (2010)

    Article  ADS  Google Scholar 

  4. S.M. Carroll, M. Hoffman, M. Trodden, Phys. Rev. D 68, 023509 (2003)

    Article  ADS  Google Scholar 

  5. M. Malquarti, E.J. Copeland, A.R. Liddle, M. Trodden, Phys. Rev. D 67, 123503 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  6. R.-J. Yang, X.-T. Gao, Chin. Phys. Lett. 26, 089501 (2009)

    Article  ADS  Google Scholar 

  7. R.J. Yang, S.N. Zhang, Y. Liu, J. Cosmol. Astropart. Phys. 01, 017 (2008)

    Article  Google Scholar 

  8. R.-J. Yang, S.N. Zhang, Chin. Phys. Lett. 25, 344 (2008)

    Article  ADS  Google Scholar 

  9. R.-J. Yang, X.-T. Gao, Chin. Phys. Lett. 28, 109502 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  10. R.-J. Yang, S.N. Zhang, B. Chen, J.-Z. Qi, An old universe in K-essence cosmology. Astron. Astrophys. 2011, 523617 (2011). 5 pages. doi:10.5402/2011/523617

    Google Scholar 

  11. R.-J. Yang, X.-T. Gao, Class. Quantum Gravity 28, 065012 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  12. R.-J. Yang, Eur. Phys. J. C 72, 1948 (2012)

    Article  ADS  Google Scholar 

  13. X.-T. Gao, R.-J. Yang, Phys. Lett. B 687, 99 (2010)

    Article  ADS  Google Scholar 

  14. J. De-Santiago, J.L. Cervantes-Cota, D. Wands arXiv:1204.3631

  15. S. Unnikrishnan, Phys. Rev. D 78, 063007 (2008)

    Article  ADS  Google Scholar 

  16. J.S. Bagla, H.K. Jassal, T. Padmanabhan, Phys. Rev. D 67, 063504 (2003)

    Article  ADS  Google Scholar 

  17. J.M. Aguirregabiria, R. Lazkoz, Phys. Rev. D 69, 123502 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  18. V. Gorini, A. Kamenshchik, U. Moschella, V. Pasquier, Phys. Rev. D 69, 123512 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  19. G.W. Gibbons, Class. Quantum Gravity 20, S321 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. E.J. Copeland, M.R. Garousi, M. Sami, S. Tsujikawa, Phys. Rev. D 71, 043003 (2005)

    Article  ADS  Google Scholar 

  21. G. Shiu, I. Wasserman, Phys. Lett. B 541, 6 (2002)

    Article  ADS  Google Scholar 

  22. D. Choudhury, D. Ghoshal, D.P. Jatkar, S. Panda, Phys. Lett. B 544, 231 (2002)

    Article  ADS  MATH  Google Scholar 

  23. A. Frolov, L. Kofman, A. Starobinsky, Phys. Lett. B 545, 8 (2002)

    Article  ADS  MATH  Google Scholar 

  24. N. Bilic, G.B. Tupper, R.D. Viollier, Phys. Rev. D 80, 023515 (2009)

    Article  ADS  Google Scholar 

  25. S. Nojiri, S.D. Odinstov, S. Tsujikawa, Phys. Rev. D 71, 063004 (2005)

    Article  ADS  Google Scholar 

  26. S. Nesseris, L. Perivolaropoulos, Phys. Rev. D 70, 123529 (2004)

    Article  ADS  Google Scholar 

  27. P. Singh, M. Sami, N. Dadhich, Phys. Rev. D 68, 023522 (2003)

    Article  ADS  Google Scholar 

  28. J.M. Cline, S. Jeon, G.D. Moore, Phys. Rev. D 70, 043543 (2004)

    Article  ADS  Google Scholar 

  29. C. Kim, H.B. Kim, Y. Kim, Phys. Lett. B 552, 111 (2003)

    Article  ADS  MATH  Google Scholar 

  30. A. Das, S. Gupta, T. Deep Saini, S. Kar, Phys. Rev. D 72, 043528 (2005)

    Article  ADS  Google Scholar 

  31. V.K. Onemli, R.P. Woodard, Phys. Rev. D 70, 107301 (2004)

    Article  ADS  Google Scholar 

  32. K. Bamba, S. Capozziello, S. Nojiri, S.D. Odintsov arXiv:1205.3421v1

  33. L.P. Chimento, Phys. Rev. D 69, 123517 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  34. J. Garriga, V.F. Mukhanov, Phys. Lett. B 458, 219 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  35. S. Carloni, E. Elizalde, P.J. Silva, Class. Quantum Gravity 27, 045004 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  36. S. Carloni, P.K.S. Dunsby, S. Capozziello, A. Troisi, Class. Quantum Gravity 22, 4839 (2005)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  37. E.J. Copeland, A.R. Liddle, D. Wands, Phys. Rev. D 57, 4686 (1998)

    Article  ADS  Google Scholar 

  38. S. Capozziello, S. Nojiri, S.D. Odintsov, Phys. Lett. B 632, 597 (2006)

    Article  ADS  Google Scholar 

  39. G. Leon, E.N. Saridakis, Phase-space analysis of Horava–Lifshitz cosmology. J. Cosmol. Astropart. Phys. 11, 006 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  40. D.K. Arrowsmith, C.M. Place, An Introduction to Dynamical Systems (Cambridge University Press, Cambridge, 1990)

    MATH  Google Scholar 

  41. S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, 2nd edn. (Springer, Berlin, 2000)

    Google Scholar 

  42. E. Babichev, V. Mukhanov, A. Vikman, J. High Energy Phys. 02, 101 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  43. J.-P. Bruneton, Phys. Rev. D 75, 085013 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  44. J.U. Kang, V. Vanchurin, S. Winitzki, Phys. Rev. D 76, 083511 (2007)

    Article  ADS  Google Scholar 

  45. C. Bonvin, C. Caprini, R. Durrer, Phys. Rev. Lett. 97, 081303 (2006)

    Article  ADS  Google Scholar 

  46. V. Gorini, A.Y. Kamenshchik, U. Moschella, O.F. Piattella, A.A. Starobinsky, J. Cosmol. Astropart. Phys. 02, 016 (2008)

    Article  ADS  Google Scholar 

  47. G. Ellis, R. Maartens, M. MacCallum, Gen. Relativ. Gravit. 39, 1651 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  48. C. Armendariz-Picon, E.A. Lim, J. Cosmol. Astropart. Phys. 08, 007 (2005)

    Article  ADS  Google Scholar 

  49. F. Piazza, S. Tsujikawa, J. Cosmol. Astropart. Phys. 07, 004 (2004)

    Article  ADS  Google Scholar 

  50. E.O. Kahya, V.K. Onemli, Phys. Rev. D 76, 043512 (2007)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This study is supported in part by National Natural Science Foundation of China under Grant No. 11147028, and Hebei Provincial Natural Science Foundation of China under Grant No. A2011201147.

Author information

Authors and Affiliations

  1. College of Physical Science and Technology, Hebei University, Baoding, 071002, China

    Rongjia Yang & Jingzhao Qi

  2. Department of Physics, Tsinghua University, Beijing, 100084, China

    Rongjia Yang

Authors
  1. Rongjia Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jingzhao Qi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Rongjia Yang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, R., Qi, J. Dynamics of generalized tachyon field. Eur. Phys. J. C 72, 2095 (2012). https://doi.org/10.1140/epjc/s10052-012-2095-x

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjc/s10052-012-2095-x

Keywords

Search

Navigation