Skip to main content
SpringerLink
Log in

Statefinder Diagnostic and w−w′ Analysis for Interacting Polytropic Gas Dark Energy Model

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

The interacting polytropic gas dark energy model is investigated from the viewpoint of statefinder diagnostic tool and w−w′ analysis. The dependency of the statefinder parameters on the parameter of the model as well as the interaction parameter between dark matter and dark energy is calculated. We show that different values of the parameters of model and different values of interaction parameter result different evolutionary trajectories in s−r and w−w′ planes. The polytropic gas model of dark energy mimics the standard ΛCDM model at the early time.

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. Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)

    Article  ADS  Google Scholar 

  2. Bennett, C.L., et al.: Astrophys. J. Suppl. Ser. 148, 1 (2003)

    Article  ADS  Google Scholar 

  3. Tegmark, M., et al.: Phys. Rev. D 69, 103501 (2004)

    Article  ADS  Google Scholar 

  4. Allen, S.W., et al.: Mon. Not. R. Astron. Soc. 353, 457 (2004)

    Article  ADS  Google Scholar 

  5. Alam, U., Sahni, V., Starobinsky, A.A.: J. Cosmol. Astropart. Phys. 0406, 008 (2004)

    Article  ADS  Google Scholar 

  6. Huterer, D., Cooray, A.: Phys. Rev. D 71, 023506 (2005)

    Article  ADS  Google Scholar 

  7. Gong, Y.G.: Int. J. Mod. Phys. D 14, 599 (2005)

    Article  ADS  MATH  Google Scholar 

  8. Gong, Y.G.: Class. Quantum Gravity 22, 2121 (2005)

    Article  ADS  MATH  Google Scholar 

  9. Wang, Y., Tegmark, M.: Phys. Rev. D 71, 103513 (2005)

    Article  ADS  Google Scholar 

  10. Gong, Y.-G., Zhang, Y.-Z.: Phys. Rev. D 72, 043518 (2005)

    Article  ADS  Google Scholar 

  11. Wetterich, C.: Nucl. Phys. B 302, 668 (1988)

    Article  ADS  Google Scholar 

  12. Ratra, B., Peebles, J.: Phys. Rev. D 37, 321 (1988)

    Article  Google Scholar 

  13. Caldwell, R.R.: Phys. Lett. B 545, 23 (2002)

    Article  ADS  Google Scholar 

  14. Nojiri, S., Odintsov, S.D.: Phys. Lett. B 562, 147 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. Nojiri, S., Odintsov, S.D.: Phys. Lett. B 565, 1 (2003)

    Article  ADS  MATH  Google Scholar 

  16. de Paolis, F., Jamil, M., Qadir, A.: Int. J. Theor. Phys. 49, 621 (2010)

    Article  MATH  Google Scholar 

  17. Jamil, M., Rashid, M.A.: Eur. Phys. J. C 58, 111–114 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  18. Jamil, M.: Eur. Phys. J. C 62, 609–614 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. Jamil, M.: Int. J. Theor. Phys. 49, 144–151 (2010)

    Article  MATH  Google Scholar 

  20. Elizalde, E., Nojiri, S., Odinstov, S.D.: Phys. Rev. D 70, 043539 (2004)

    Article  ADS  Google Scholar 

  21. Nojiri, S., Odintsov, S.D., Tsujikawa, S.: Phys. Rev. D 71, 063004 (2005)

    Article  ADS  Google Scholar 

  22. Anisimov, A., Babichev, E., Vikman, A.: J. Cosmol. Astropart. Phys. 06, 006 (2005)

    Article  ADS  Google Scholar 

  23. Chiba, T., Okabe, T., Yamaguchi, M.: Phys. Rev. D 62, 023511 (2000)

    Article  ADS  Google Scholar 

  24. Armend´ariz-Pic´on, C., Mukhanov, V., Steinhardt, P.J.: Phys. Rev. Lett. 85, 4438 (2000)

    Article  ADS  Google Scholar 

  25. Armend´ariz-Pic´on, C., Mukhanov, V., Steinhardt, P.J.: Phys. Rev. D 63, 103510 (2001)

    Article  ADS  Google Scholar 

  26. Sen, A.: J. High Energy Phys. 04, 048 (2002)

    Article  ADS  Google Scholar 

  27. Padmanabhan, T.: Phys. Rev. D 66, 021301 (2002)

    Article  ADS  Google Scholar 

  28. Padmanabhan, T., Choudhury, T.R.: Phys. Rev. D 66, 081301 (2002)

    Article  ADS  Google Scholar 

  29. Gasperini, M., Piazza, F., Veneziano, G.: Phys. Rev. D 65, 023508 (2002)

    Article  ADS  Google Scholar 

  30. Arkani-Hamed, N., Creminelli, P., Mukohyama, S., Zaldarriaga, M.: J. Cosmol. Astropart. Phys. 04, 001 (2004)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  32. Kamenshchik, A., Moschella, U., Pasquier, V.: Phys. Lett. B 511, 265 (2001)

    Article  ADS  MATH  Google Scholar 

  33. Bento, M.C., Bertolami, O., Sen, A.A.: Phys. Rev. D 66, 043507 (2002)

    Article  ADS  Google Scholar 

  34. Setare, M.R.: Eur. Phys. J. C 52, 689 (2007)

    Article  ADS  Google Scholar 

  35. Deffayet, C., Dvali, G.R., Gabadaaze, G.: Phys. Rev. D 65, 044023 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  36. Sahni, V., Shtanov, Y.: J. Cosmol. Astropart. Phys. 0311, 014 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  37. Horava, P., Minic, D.: Phys. Rev. Lett. 85, 1610 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  38. Horava, P., Minic, D.: Phys. Rev. Lett. 509, 138 (2001)

    Google Scholar 

  39. Thomas, S.: Phys. Rev. Lett. 89, 081301 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  40. Setare, M.R.: Phys. Lett. B 644, 99 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  41. Setare, M.R.: Phys. Lett. B 654, 1 (2007)

    Article  ADS  Google Scholar 

  42. Setare, M.R.: Phys. Lett. B 642, 1 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  43. Setare, M.R.: Eur. Phys. J. C 50, 991 (2007)

    Article  ADS  Google Scholar 

  44. Setare, M.R.: Phys. Lett. B 648, 329 (2007)

    Article  ADS  Google Scholar 

  45. Setare, M.R.: Phys. Lett. B 653, 116 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  46. Cai, R.G.: Phys. Lett. B 657, 228 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  47. Wei, H., Cai, R.G.: Phys. Lett. B 660, 113 (2008)

    Article  ADS  Google Scholar 

  48. Jamil, M., Rashid, M.A.: Eur. Phys. J. C 56, 429–434 (2008)

    Article  ADS  MATH  Google Scholar 

  49. Jamil, M., Rahman, F.: Eur. Phys. J. C 64, 97–105 (2009)

    Article  ADS  Google Scholar 

  50. Farooq, M.U., Jamil, M., Rashid, M.A.: Int. J. Theor. Phys. 49, 2278–2287 (2010)

    Article  MATH  Google Scholar 

  51. Jamil, M., Saridakis, E.N.: J. Cosmol. Astropart. Phys. 1007, 028 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  52. Sadjadi, H.M., Jamil, M.: Gen. Relativ. Gravit. 43, 1759–1775 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  53. ’t Hooft, G.: arXiv:gr-qc/9310026v2 (2009)

  54. Susskind, L.: J. Math. Phys. 36, 6377 (1995)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  55. Karolyhazy, F.: Nuovo Cimento A 42, 390 (1966)

    Article  ADS  Google Scholar 

  56. Karolyhazy, F., Frenkel, A., Lukacs, B.: In: Shimony, A., Feschbach, H. (eds.) Physics as natural Philosophy. MIT Press, Cambridge (1982)

    Google Scholar 

  57. Karolyhazy, F., Frenkel, A., Lukacs, B.: In: Penrose, R., Isham, C.J. (eds.) Quantum Concepts in Space and Time. Clarendon, Oxford (1986)

    Google Scholar 

  58. Bertolami, O., Gil Pedro, F., Le Delliou, M.: Phys. Lett. B 654, 165 (2007)

    Article  ADS  Google Scholar 

  59. Feng, C., Wang, B., Gong, Y., Su, R.K.: J. Cosmol. Astropart. Phys. 0709, 005 (2007)

    Article  ADS  Google Scholar 

  60. Christensen-Dalsgard, J.: Lecture Notes on Stellar Structure and Evolution, 6th edn. Aarhus University Press, Aarhus (2004)

    Google Scholar 

  61. Mukhopadhyay, U., Ray, S.: Mod. Phys. Lett. A 23, 3198 (2008)

    Article  Google Scholar 

  62. Karami, K., Abdolmaleki, A.: Astrophys. Space Sci. 330, 133 (2010)

    Article  ADS  MATH  Google Scholar 

  63. Karami, K., Ghaffari, S., Fehri, J.: Eur. Phys. J. C 64, 85 (2009)

    Article  ADS  Google Scholar 

  64. Karami, K., Abdolmaleki, A.: arXiv:1009.3587 (2010)

  65. Malekjani, M., Khodam-Mohammadi, A., Taji, M.: Int. J. Theor. Phys. 50, 312 (2011)

    Article  Google Scholar 

  66. Nojiri, S., Odintsov, S.D., Tsujikawa, S.: Phys. Rev. D 71, 063004 (2005)

    Article  ADS  Google Scholar 

  67. Sahni, V., Saini, T.D., Starobinsky, A.A., Alam, U.: JETP Lett. 77, 201 (2003)

    Article  ADS  Google Scholar 

  68. Alam, U., Sahni, V., Saini, T.D., Starobinsky, A.A.: Mon. Not. R. Astron. Soc. 344, 1057 (2003)

    Article  ADS  Google Scholar 

  69. Zimdahl, W., Pavon, D.: Gen. Relativ. Gravit. 36, 1483 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  70. Zhang, X.: Phys. Lett. B 611, 1 (2005)

    Article  ADS  Google Scholar 

  71. Zhang, X.: Int. J. Mod. Phys. D 14, 1597 (2005)

    Article  ADS  MATH  Google Scholar 

  72. Zhang, J., Zhang, X., Liu, H.: arXiv:0705.4145 [astro-ph] (2007)

  73. Setare, M.R., Zhang, J., Zhang, X.: J. Cosmol. Astropart. Phys. 0703, 007 (2007)

    Article  ADS  Google Scholar 

  74. Chang, B.R., Liu, H.Y., Xu, L.X., Zhang, C.W., Ping, Y.L.: J. Cosmol. Astropart. Phys. 0701, 016 (2007)

    Article  ADS  Google Scholar 

  75. Shao, Y., Gui, Y.: arXiv:gr-qc/0703111v1 (2007)

  76. Malekjani, M., Khodam-Mohammadi, A., Nazari-Pooya, N.: Astrophys. Space Sci. 334, 193–201 (2011)

    Article  ADS  MATH  Google Scholar 

  77. Zhang, L., Cui, J., Zhang, J., Zhang, X.: Int. J. Mod. Phys. D 19, 21 (2010)

    Article  ADS  MATH  Google Scholar 

  78. Khodam-Mohammadi, A., Malekjani, M.: Astrophys. Space Sci. 331, 265 (2010)

    Article  ADS  Google Scholar 

  79. Wei, H., Cai, R.G.: Phys. Lett. B 655, 1 (2007)

    Article  ADS  Google Scholar 

  80. Malekjani, M., Khodam-Mohammadi, A.: Int. J. Mod. Phys. D 19, 1 (2010)

    Article  Google Scholar 

  81. Jamil, M., Debnath, U.: Int. J. Theor. Phys. 50, 1602–1613 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  82. Jamil, M.: Int. J. Theor. Phys. 49, 2829 (2010)

    Article  MATH  Google Scholar 

  83. Setare, M.R., Jamil, M.: Gen. Relativ. Gravit. 43, 293–303 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  84. Debnath, U., Jamil, M.: Astrophys. Space Sci. 335, 545–552 (2011)

    Article  ADS  Google Scholar 

  85. Jamil, M., Debnath, U.: Astrophys. Space Sci. 333, 3 (2011)

    Article  ADS  Google Scholar 

  86. Scherrer, R.J.: Phys. Rev. D 73, 043502 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  87. Chiba, T.: Phys. Rev. D 73, 063501 (2006)

    Article  ADS  Google Scholar 

  88. Barger, V., Guarnaccia, E., Marfatia, D.: Phys. Lett. B 635, 61 (2006)

    Article  ADS  Google Scholar 

  89. Zhao, W.: Phys. Rev. D 73, 123509 (2006)

    Article  ADS  Google Scholar 

  90. Zhao, W.: Phys. Lett. B 655, 97 (2007)

    Article  ADS  Google Scholar 

  91. Calcagni, G., Liddle, A.R.: Phys. Rev. D 74, 043528 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  92. Guo, Z.K., Piao, Y.S., Zhang, X.M., Zhang, Y.Z.: Phys. Rev. D 74, 127304 (2006)

    Article  ADS  Google Scholar 

  93. Huang, Z.G., Li, X.H., Sun, Q.Q.: Astrophys. Space Sci. 310, 53 (2007)

    Article  ADS  Google Scholar 

  94. Huang, Z.G., Lu, H.Q., Fang, W.: Int. J. Mod. Phys. D 16, 1109 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  95. de Putter, R., Linder, E.V.: Astropart. Phys. 28, 263 (2007)

    Article  ADS  Google Scholar 

  96. Sheykhi, A.: Phys. Lett. B 680, 113 (2009)

    Article  ADS  Google Scholar 

  97. Wei, H., Cai, R.G.: Phys. Lett. B 660, 113 (2008)

    Article  ADS  Google Scholar 

  98. Zhang, L., Cui, J., Zhang, J., Zhang, X.: Int. J. Mod. Phys. D 19, 21 (2010)

    Article  ADS  MATH  Google Scholar 

  99. Chimento, L.P.: Phys. Rev. D 81, 043525 (2010)

    Article  ADS  Google Scholar 

  100. Malekjani, M., Khodam-Mohammadi, A., Nazari-Pooya, N.: Astrophys. Space Sci. 332, 515–524 (2011)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Science, Bu-Ali Sina University, Hamedan, 65178, Iran

    M. Malekjani & A. Khodam-Mohammadi

  2. Department of Physics, Faculty of Science, Shiraz University, Shiraz, 71454, Iran

    A. Khodam-Mohammadi

Authors
  1. M. Malekjani
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Khodam-Mohammadi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Malekjani.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Malekjani, M., Khodam-Mohammadi, A. Statefinder Diagnostic and w−w′ Analysis for Interacting Polytropic Gas Dark Energy Model. Int J Theor Phys 51, 3141–3151 (2012). https://doi.org/10.1007/s10773-012-1195-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-012-1195-6

Keywords

Search

Navigation