Skip to main content
SpringerLink
Log in

An Interacting and Non-interacting Two-Fluid Dark Energy Models in FRW Universe with Time Dependent Deceleration Parameter

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

Abstract

We study the evolution of the dark energy parameter in a spatially homogeneous and isotropic FRW space-time filled with barotropic fluid and dark energy by considering a time dependent deceleration parameter. Two cases are discussed when the dark energy is minimally coupled to the perfect fluid as well as direct interaction with it. It is concluded that in both non-interacting and interacting cases only open and flat universes cross the phantom region. We find that during the evolution of the universe, the equation of state (EoS) for dark energy ω D changes from ω D >−1 to ω D <−1, which is consistent with recent observations. The cosmic jerk parameter in our derived models is also found to be in good agreement with the recent data of astrophysical observations.

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

Similar content being viewed by others

References

  1. Perlmutter, S., et al.: Astrophys. J. 483, 565 (1997)

    Article  ADS  Google Scholar 

  2. Perlmutter, S., et al.: Nature 391, 51 (1998)

    Article  ADS  Google Scholar 

  3. Perlmutter, S., et al.: Astrophys. J. 517, 5 (1999)

    Article  Google Scholar 

  4. Riess, A.G., et al.: Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

  5. Riess, A.G., et al.: Publ. Astron. Soc. Pac. 114, 1284 (2000)

    Article  ADS  Google Scholar 

  6. Garnavich, P.M., et al.: Astrophys. J. 493, L5 (1998)

    Article  Google Scholar 

  7. Garnavich, P.M., et al.: Astrophys. J. 509, 74 (1998)

    Article  ADS  Google Scholar 

  8. Schmidt, B.P., et al.: Astrophys. J. 507, 46 (1998)

    Article  ADS  Google Scholar 

  9. Tonry, J.L., et al.: Astrophys. J. 594, 1 (2003)

    Article  ADS  Google Scholar 

  10. Clocchiatti, A., et al.: Astrophys. J. 642, 1 (2006)

    Article  ADS  Google Scholar 

  11. de Bernardis, P., et al.: Nature 391, 5 (1998)

    Google Scholar 

  12. Hanany, S., et al.: Astrophys. J. 493, L53 (2000)

    Google Scholar 

  13. Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 148, 175 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  15. Seljak, U., et al.: Phys. Rev. D 71, 103515 (2005)

    Article  ADS  Google Scholar 

  16. Adelman-McCarthy, J.K., et al.: Astrophys. J. Suppl. Ser. 162, 38 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  19. Overduin, J.M., Cooperstock, F.I.: Phys. Rev. D 58, 043506 (1998)

    Article  ADS  Google Scholar 

  20. Sahni, V., Starobinsky, A.: Int. J. Mod. Phys. D 9, 373 (2000)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  22. Kachru, S., Kallosh, R., Linde, A., Trivedi, S.P.: Phys. Rev. D 68, 046005 (2003)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  25. Ratra, B., Peebles, P.J.E.: Phys. Rev. D 37, 321 (1988)

    Article  Google Scholar 

  26. Khoury, J., Weltman, A.: Phys. Rev. Lett. 93, 171104 (2004)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  28. Armendariz-Picon, C., Mukhanov, V., Steinhardt, P.J.: Phys. Rev. Lett. 85, 4438 (2000)

    Article  ADS  Google Scholar 

  29. Armendariz-Picon, C., Damour, T., Mukhanov, V.: Phys. Lett. B 458, 209 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  30. Capozziello, S.: Int. J. Mod. Phys. D 11, 483 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. Caroll, S.M., Duvvuri, V., Trodden, M., Turner, M.S.: Phys. Rev. D 70, 043528 (2004)

    Article  ADS  Google Scholar 

  32. Dolgov, A.D., Kawasaki, M.: Phys. Lett. B 573, 1 (2003)

    Article  ADS  MATH  Google Scholar 

  33. Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  34. Nojiri, S., Odintsov, S.D.: Phys. Lett. A 19, 627 (2004)

    MathSciNet  MATH  Google Scholar 

  35. Abdalaa, M.C.B., Nojiri, S., Odintsov, S.D.: Class. Quantum Gravity 22, L35 (2005)

    Article  ADS  Google Scholar 

  36. Mena, O., Santiago, J., Weller, J.: Phys. Rev. Lett. 96, 041103 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. Sen, A.: J. High Energy Phys. 0207, 065 (2002)

    Article  ADS  Google Scholar 

  39. Peebles, P.J.E., Vilenkin, A.: Phys. Rev. D 59, 063505 (1999)

    Article  ADS  Google Scholar 

  40. Srivastava, S.K.: Phys. Lett. B 619, 1 (2005)

    Article  ADS  Google Scholar 

  41. Jackiw, R.: arXiv:physics/0010042 (2000)

  42. Bertolami, O., et al.: Mon. Not. R. Astron. Soc. 353, 329 (2004)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  44. Bilic, N., Tupper, G.B., Viollier, R.: Phys. Lett. B 535, 17 (2002)

    Article  ADS  MATH  Google Scholar 

  45. Avelino, C., Beca, L.M.G., de Carvalho, J.P.M., Martins, C.J.A.P., Pinto, P.: Phys. Rev. D, Part. Fields 67, 023511 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  47. Gupta, R.C., Pradhan, A.: Int. J. Theor. Phys. 49, 821 (2010)

    Article  MATH  Google Scholar 

  48. Ray, S., Rahaman, F., Mukhopadhyay, U., Sarkar, R.: arXiv:1003.5895 [phys.gen-ph] (2010)

  49. Akarsu, Ö., Kilinc, C.B.: Gen. Relativ. Gravit. 42, 119 (2010)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  50. Akarsu, Ö., Kilinc, C.B.: Gen. Relativ. Gravit. 42, 763 (2010)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  51. Yadav, A.K., Rahaman, F., Ray, S.: Int. J. Theor. Phys. 50, 871 (2010). arXiv:1006.5412 [gr-qc]

    Article  Google Scholar 

  52. Yadav, A.K., Yadav, L.: Int. J. Theor. Phys. 50, 218 (2010). arXiv:1007.1411 [gr-qc

    Article  Google Scholar 

  53. Pradhan, A., Amirhashchi, H.: Astrophys. Space Sci. 332, 441 (2011). arXiv:1010.2362 [physics.gen-ph]

    Article  ADS  Google Scholar 

  54. Amirhashchi, H., Pradhan, A., Saha, B.: Astrophys. Space Sci. 333, 295 (2011)

    Article  ADS  Google Scholar 

  55. Pradhan, A., Amirhashchi, H., Saha, B.: arXiv:1010.1121 [gr-qc] (2010)

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

    Article  MathSciNet  ADS  Google Scholar 

  57. Setare, M.R.: Phys. Lett. B 642, 421 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  58. Amendola, L.: Phys. Rev. D 62, 043511 (2000)

    Article  ADS  Google Scholar 

  59. Szydlowski, M., Kurek, A., Krawiec, A.: Phys. Lett. B 642, 171 (2006)

    Article  ADS  Google Scholar 

  60. Setare, M.R.: J. Cosmol. Astropart. Phys. 0701, 023 (2003)

    MathSciNet  ADS  Google Scholar 

  61. Pradhan, A., Amirhashchi, H., Saha, B.: Astrophys. Space Sci. 333, 343 (2011)

    Article  ADS  Google Scholar 

  62. Pradhan, A., Amirhashchi, H., Saha, B.: Chin. Phys. Lett. 28, 039801 (2011). doi:10.1089/0256-307X/28/3/039801

    Article  Google Scholar 

  63. Alam, U., Sahni, V., Saini, T.D., Starobinsky, A.A.: Mon. Not. R. Astron. Soc. 354, 275 (2004)

    Article  ADS  Google Scholar 

  64. Alam, U., Sahni, V., Starobinsky, A.A.: J. Cosmol. Astropart. Phys. 06, 008 (2004)

    Article  ADS  Google Scholar 

  65. Feng, B., Wang, X.L., Zhang, X.M.: Phys. Lett. B 607, 35 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  67. Chang, Z., Wu, F., Zhang, X.: Phys. Lett. B 633, 14 (2006)

    Article  ADS  Google Scholar 

  68. Sahni, V., Shtanov, Y.: J. Cosmol. Astropart. Phys. 11, 014 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  69. Wei, H., Cai, R.-G.: Phys. Rev. D 73, 083002 (2006)

    Article  ADS  Google Scholar 

  70. Vikman, A.: Phys. Rev. D 71, 023515 (2005)

    Article  ADS  Google Scholar 

  71. Perivolaropoulos, L.: J. Cosmol. Astropart. Phys. 10, 001 (2005)

    Article  ADS  Google Scholar 

  72. Nesseris, S., Perivolaropoulos, L.: Phys. Rev. D 73, 103511 (2006)

    Article  ADS  Google Scholar 

  73. Guo, Z.-K., Piao, Y.-S., Zhang, X., Zhang, Y.-Z.: Phys. Lett. B 608, 177 (2005)

    Article  ADS  Google Scholar 

  74. Hu, W.: Phys. Rev. D 71, 047301 (2005)

    Article  ADS  Google Scholar 

  75. Wei, W., Cai, R.G.: Phys. Lett. B 634, 9 (2006)

    Article  ADS  Google Scholar 

  76. Zhang, X.F., Li, H., Piao, Y.S., Zhang, X.M.: Mod. Phys. Lett. A 21, 231 (2006)

    Article  ADS  Google Scholar 

  77. Guo, Z.-K., Cai, R.-G., Zhang, Y.-Z.: J. Cosmol. Astropart. Phys. 05, 002 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  79. Gumjudpai, B., Naskar, T., Sami, M., Tsujikawa, S.: J. Cosmol. Astropart. Phys. 06, 007 (2005)

    Article  ADS  Google Scholar 

  80. Hinshaw, G., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 180, 225 (2009). arXiv:0803.0732 [astro-ph]

    Article  ADS  Google Scholar 

  81. Komatsu, E., Dunkley, J., et al.: Astrophys. J. Suppl. Ser. 180, 330 (2009). arXiv:0803.0547 [astro-ph]

    Article  ADS  Google Scholar 

  82. Perlmutter, S., et al.: Astrophys. J. 598, 102 (2003). arXiv:astro-ph/0309368

    Article  ADS  Google Scholar 

  83. Zhang, X.F., Liu, H.H.: Chin. Phys. Lett. 26, 109803 (2009)

    Article  ADS  Google Scholar 

  84. Liang, N.M., Gao, C.J., Zhang, S.N.: Chin. Phys. Lett. 26, 069501 (2009)

    Article  ADS  Google Scholar 

  85. Arbab, I.A.: Chin. Phys. Lett. 25, 3834 (2008)

    Article  ADS  Google Scholar 

  86. Wang, C., Wu, Y.B., Liu, F.: Chin. Phys. Lett. 26, 029801 (2009)

    Article  ADS  Google Scholar 

  87. Setare, M.R., Sadeghi, J., Amani, A.R.: Phys. Lett. B 673, 241 (2009)

    Article  ADS  Google Scholar 

  88. Setare, M.R., Saridakis, E.N.: Int. J. Mod. Phys. A 18, 549 (2009)

    MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  92. Mukhopadhyay, U., Ray, P.C., Ray, S., Datta Choudhury, S.B.: Int. J. Mod. Phys. D 18, 389 (2009)

    Article  ADS  MATH  Google Scholar 

  93. Amirhashchi, H., Pradhan, A., Saha, B.: Chin. Phys. Lett. 28, 039801 (2011). arXiv:1011.3940 [gr-qc]

    Article  Google Scholar 

  94. Padmanabhan, T., Roychowdhury, T.: Mon. Not. R. Astron. Soc. 344, 823 (2003)

    Article  ADS  Google Scholar 

  95. Amendola, L.: Mon. Not. R. Astron. Soc. 342, 221 (2003)

    Article  ADS  Google Scholar 

  96. Riess, A.G., et al.: Astrophys. J. 560, 49 (2001)

    Article  ADS  Google Scholar 

  97. Rodrigues, D.C.: Phys. Rev. D 77, 023534 (2008). arXiv:0708.1168v2 [astro-ph]

    Article  ADS  Google Scholar 

  98. Nesseris, S., Perivolaropoulos, L.: J. Cosmol. Astropart. Phys. 0701, 018 (2007). arXiv:astro-ph/0610092v3

    Article  MathSciNet  ADS  Google Scholar 

  99. Riess, A.G., et al.: Astrophys. J. 607, 665 (2004). arXiv:astro-ph/0402512

    Article  ADS  Google Scholar 

  100. Astier, P., et al.: Astron. Astrophys. 447, 31 (2006). arXiv:astro-ph/0510447

    Article  ADS  Google Scholar 

  101. Komatsu, E., et al.: Astrophys. J. Suppl. Ser. 180, 330 (2009). arXiv:0803.0547 [astro-ph]

    Article  ADS  Google Scholar 

  102. MacTavish, C.J., et al.: Astrophys. J. 647, 799 (2006). arXiv:astro-ph/0507503v1

    Article  ADS  Google Scholar 

  103. Eisenstein, E., et al.: Astrophys. J. 633, 560 (2005). arXiv:astro-ph/0501171

    Article  ADS  Google Scholar 

  104. Zhao, G.B., et al.: Phys. Lett. B 648, 8 (2007). arXiv:astro-ph/0612728v2

    Article  ADS  Google Scholar 

  105. Coperland, E.J., et al.: Int. J. Mod. Phys. D 15, 1753 (2006). arXiv:hep-th/0603057v3

    Article  ADS  Google Scholar 

  106. Chiba, T., Nakamura, T.: Prog. Theor. Phys. 100, 1077 (1998)

    Article  ADS  Google Scholar 

  107. Sahni, V.: arXiv:astro-ph/0211084 (2002)

  108. Blandford, R.D., Amin, M., Baltz, E.A., Mandel, K., Marshall, P.J.: arXiv:astro-ph/0408279 (2004)

  109. Visser, M.: Class. Quantum Gravity 21, 2603 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  110. Visser, M.: Gen. Relativ. Gravit. 37, 1541 (2005)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  111. Riess, A.G., et al.: Astrophys. J. 607, 665 (2004)

    Article  ADS  Google Scholar 

  112. Astier, P., et al.: Astron. Astrophys. 447, 31 (2006)

    Article  ADS  Google Scholar 

  113. Rapetti, D., Allen, S.W., Amin, M.A., Blandford, R.D.: Mon. Not. R. Astron. Soc. 375, 1510 (2007)

    Article  ADS  Google Scholar 

  114. Pavon, D., Wang, B.: Gen. Relativ. Gravit. 41, 1 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  115. Amendola, L., Camargo Campos, G., Rosenfeld, R.: Phys. Rev. D 75, 083506 (2007)

    Article  ADS  Google Scholar 

  116. Guo, Z.K., Ohta, N., Tsujikawa, S.: Phys. Rev. D 76, 023508 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  118. Le Delliou, M., Bertolami, O., Gil Pedro, F.: AIP Conf. Proc. 957, 421 (2007). arXiv:0709.2505 [astro-ph]

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Young Researcher Club, Mahshahr Branch, Islamic Azad University, Mahshahr, Iran

    Hassan Amirhashchi

  2. Department of Mathematics, Hindu Post-graduate College, Zamania, 232 331, Ghazipur, India

    Anirudh Pradhan

  3. Department of Physics, University Putra Malaysia, 43400 UPM, Serdang, Selangor D.E., Malaysia

    Hassan Amirhashchi & H. Zainuddin

  4. Laboratory of Computational Sciences and Informatics, Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor D.E., Malaysia

    Anirudh Pradhan & H. Zainuddin

Authors
  1. Hassan Amirhashchi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Anirudh Pradhan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. Zainuddin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hassan Amirhashchi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Amirhashchi, H., Pradhan, A. & Zainuddin, H. An Interacting and Non-interacting Two-Fluid Dark Energy Models in FRW Universe with Time Dependent Deceleration Parameter. Int J Theor Phys 50, 3529–3543 (2011). https://doi.org/10.1007/s10773-011-0861-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-011-0861-4

Keywords

Search

Navigation