Skip to main content
SpringerLink
Log in

Phenomenological Varying Modified Chaplygin Gas with Variable G and Λ: Toy Models for Our Universe

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

Abstract

In this paper, we have considered varying modified Chaplygin gas in case of variable G and Λ. Since varying G and Λ give rises to modified form of field equations and conservation law, we have considered two different toy models. In the first model, the Universe is filled with a phenomenological gas while in the second one, there is the existence of gas and a matter with P = ω(t)ρ m . By considering sign changeable interaction between fluids we have analyzed important cosmological parameters such as EoS parameter of the fluids and deceleration parameter q of the models.

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
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Khurshudyan, M.: arXiv:1301.4990 [gr-qc]

  2. Khurshudyan, M.: arXiv:1301.1021 [gr-qc]

  3. Sadeghi, J., Farahani, H.: Astrophys Space Sci 347, 209 (2013). arXiv:1304.6987 [gr-qc]

    Article  ADS  Google Scholar 

  4. Riess, A.G., et al. [Supernova Search Team Colloboration]: Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

  5. Perlmutter, S., et al. [Supernova Cosmology Project Collaboration]: Astrophys. J. 517, 565 (1999)

    Article  ADS  Google Scholar 

  6. Amanullah, R., et al.: Astrophys. J 716, 712 (2010)

    Article  ADS  Google Scholar 

  7. Pope, A.C., et al.: Astrophys. J. 607, 655 (2004). arXiv:astro-ph/0401249

    Article  ADS  Google Scholar 

  8. Spergel, D.N., et al.: Astrophys. J. Supp. 148, 175 (2003). arXiv:astro-ph/0302209

    Article  ADS  Google Scholar 

  9. Steinhardt, P.J.: Critical Problems in Physics. Prinston University Press (1997)

  10. Sola, J., Stefancic, H.: Phys. Lett. B 624, 147 (2005)

    Article  ADS  Google Scholar 

  11. Shapiro, I.L., Sola, J.: Phys. Lett. B 682, 105 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  12. Ratra, B., Peebles, P.J.E.: Phys. Rev. D 37, 3406 (1988)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  14. Zlatev, I., Wang, L.M., Steinhardt, P.J.: Phys. Rev. Lett 82, 896 (1999)

    Article  ADS  Google Scholar 

  15. Guo, Z. K., Ohta, N., Zhang, Y.Z.: Mod. Phys. Lett. A 22, 883 (2007)

    Article  ADS  MATH  Google Scholar 

  16. Dutta, S., Saridakis, E.N., Scherrer, R.J.: Phys. Rev. D 79, 103005 (2009)

    Article  ADS  Google Scholar 

  17. Saridakis, E.N., Sushkov, S.V.: Phys. Rev. D 81, 083510 (2010)

    Article  ADS  Google Scholar 

  18. Caldwell, R.R., Kamionkowski, M., Weinberg, N.N.: Phys. Rev. Lett. 91, 071301 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  25. Setare, M.R., Saridakis, E.N.: JCAP 0903, 002 (2009)

    Article  ADS  Google Scholar 

  26. Saridakis, E.N.: Nucl. Phys. B 819, 116 (2009)

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  28. Elizalde, E., Nojiri, S., Odintsov, S.D.: Phys. Rev. D 70, 043539 (2004)

    Article  ADS  Google Scholar 

  29. Guo, Z.K., et al.: Phys. Lett. B 608, 177 (2005)

    Article  ADS  Google Scholar 

  30. Li, M.-Z., Feng, B., Zhang, X.-M.: JCAP 0512, 002 (2005)

    Article  ADS  Google Scholar 

  31. Feng, B., Li, M., Piao, Y.-S., Zhang, X.: Phys. Lett. B 634, 101 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  33. Zhao, W., Zhang, Y.: Phys. Rev. D 73, 123509 (2006)

    Article  ADS  Google Scholar 

  34. Cai, Y.F., Qiu, T., Piao, Y.S., Li, M., Zhang, X.: JHEP 0710, 071 (2007)

    Article  ADS  Google Scholar 

  35. Saridakis, E.N., Weller, J.M.: Phys. Rev. D 81, 123523 (2010)

    Article  ADS  Google Scholar 

  36. Cai, Y.F., Qiu, T., Brandenberger, R., Piao, Y.S., Zhang, X.: JCAP 0803, 013 (2008)

    Article  ADS  Google Scholar 

  37. Setare, M.R., Saridakis, E.N.: Phys. Lett. B 668, 177 (2008)

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  39. Cai, Y.F., Saridakis, E.N., Setare, M.R., Xia, J.Q.: Phys. Rept. 493, 1 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  40. Qiu, T.: Mod. Phys. Lett. A 25, 909 (2010)

    Article  ADS  MATH  Google Scholar 

  41. Hsu, S.D.H.: Phys. Lett. B 594, 13 (2004)

    Article  ADS  Google Scholar 

  42. Li, M.: Phys. Lett. B 603, 1 (2004)

    Article  ADS  Google Scholar 

  43. Huang, Q.G., Li, M.: JCAP 0408, 013 (2004)

    Article  ADS  Google Scholar 

  44. Ito, M.: Europhys. Lett. 71, 712 (2005)

    Article  ADS  Google Scholar 

  45. Zhang, X., Wu, F.Q.: Phys. Rev. D 72, 043524 (2005)

    Article  ADS  Google Scholar 

  46. Pavon, D., Zimdahl, W.: Phys. Lett. B 628, 206 (2005)

    Article  ADS  Google Scholar 

  47. Nojiri, S., Odintsov, S.D.: Gen. Rel. Grav. 38, 1285 (2006)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  48. Elizalde, E., Nojiri, S., Odintsov, S.D., Wang, P.: Phys. Rev. D 71, 103504 (2005)

    Article  ADS  Google Scholar 

  49. Li, H., Guo, Z.K., Zhang, Y.Z.: Int. J. Mod. Phys. D 15, 869 (2006)

    Article  ADS  MATH  Google Scholar 

  50. Saridakis, E.N.: Phys. Lett. B 660, 138 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  51. Saridakis, E.N.: JCAP 0804, 020 (2008)

    Article  ADS  Google Scholar 

  52. Saridakis, E.N.: Phys. Lett. B 661, 335 (2008)

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  55. Wei, H., Cai, R.G.: Eur. Phys. J. C 59, 99 (2009)

    Article  ADS  Google Scholar 

  56. Freese, K., Lewis, M.: Phys. Lett. B 540, 1 (2002)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  57. Freese, K.: Nucl. Phys. Proc. Suppl. 124, 50 (2003)

    Article  ADS  Google Scholar 

  58. Liu, D.-J., Sun, C.-B., Li, X.-Z.: Phys. Lett. B 634, 442 (2006)

    Article  ADS  Google Scholar 

  59. Yi, Z.-L., Zhang, T.-J.: Phys. Rev. D 75, 083515 (2007)

    Article  ADS  Google Scholar 

  60. Feng, C.-J., Li, X.-Z., Shen, X.-Y.: Phys. Rev. D 83, 123527 (2011)

    Article  ADS  Google Scholar 

  61. Khatua, P.B., Debnath, U.: arXiv:1108.1186 [physics.gen-ph]]

  62. Abdussattar, Vishwakarma, R.G.: Class. Quantum Grav. 14, 945 (1997)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  63. Benvenuto, O.G., et al.: Phys. Rev. D 69, 082002 (2004)

    Article  ADS  Google Scholar 

  64. Ray, S., Mukhopadhyay, U., Pratim Ghosh, P.: arXiv:0705.1836 [gr-qc]

  65. Chaplygin, S.: Sci. Mem. Moscow Univ. Math. Phys. 21, 1 (1904)

    Google Scholar 

  66. Amani, A.R., Pourhassan, B.: Int. J. Theor. Phys. 52, 1309 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  67. Saadat, H., Pourhassan, B.: Int. J. Theor. Phys. 52, 3712 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  68. Saadat, H., Pourhassan, B.: Astrophys. Space Sci. 343, 783 (2013)

    Article  ADS  Google Scholar 

  69. Saadat, H., Pourhassan, B.: Astrophys. Space Sci. 344, 237 (2013)

    Article  ADS  Google Scholar 

  70. Pourhassan, B.: Int. J. Mod. Phys. D 22(9), 1350061 (2013). arXiv:1301.2788 [gr-qc]

    Article  ADS  Google Scholar 

  71. Benaoum, H.B.: Adv. High Energy Phys. 2012, 357802 (2012)

    Article  MathSciNet  Google Scholar 

  72. Panigrahi, D., Paul, B.C., Chatterjee, S.: arXiv:1305.7204v1 [gr-qc]

  73. Fabris, J.C., Ogouyandjou, C., Tossa, J., Velten, H.E.S.: Phys. Lett. B 694, 289 (2011)

    Article  ADS  Google Scholar 

  74. Zhang, X., et al.: JCAP 0601, 003 (2006)

    Article  ADS  Google Scholar 

  75. Chattopadhyay, S., Debnath, U.: Grav. Cosmol. 14, 341 (2008)

    Article  ADS  MATH  Google Scholar 

  76. Jamil, M.: Int. J. Theor. Phys. 49, 62 (2010)

    Article  MATH  Google Scholar 

  77. Hao, W.: Common. Theory Phys. 56, 972 (2011)

    Article  MATH  Google Scholar 

  78. Wei, H.: Nucl. Phys. B 845, 381 (2011)

    Article  ADS  MATH  Google Scholar 

  79. Wei, H., Qi, H.-Y., Ma, X.-P.: Eur. Phys. J. C72, 2117 (2012)

    Article  ADS  Google Scholar 

  80. Saadat, H., Pourhassan, B.: Int. J. Theor. Phys. 53, 1168 (2014). arXiv:1305.6054 [gr-qc]

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box, 47416-95447, Babolsar, Iran

    J. Sadeghi & H. Farahani

  2. Max Planck Institute of Colloids and Interfaces, Potsdam-Golm Science Park Am Muhlenberg 1 OT Golm, 14476, Potsdam, Germany

    M. Khurshudyan

Authors
  1. J. Sadeghi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Khurshudyan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. Farahani
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to H. Farahani.

Appendices

Appendix: Single Component Fluid Universe

Fig. 8
figure 8

Scale factor of single component fluid Universe

Full size image
Fig. 9
figure 9

EoS parameter of single component fluid Universe

Full size image
Fig. 10
figure 10

Energy density of single component fluid Universe

Full size image

Appendix: Two Components Fluid Universe

Fig. 11
figure 11

Scale factor of two component fluid Universe

Full size image
Fig. 12
figure 12

EoS parameter of two component fluid Universe

Full size image
Fig. 13
figure 13

EoS parameter of two component fluid Universe

Full size image
Fig. 14
figure 14

Energy density of two component fluid Universe

Full size image

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sadeghi, J., Khurshudyan, M. & Farahani, H. Phenomenological Varying Modified Chaplygin Gas with Variable G and Λ: Toy Models for Our Universe. Int J Theor Phys 55, 81–97 (2016). https://doi.org/10.1007/s10773-015-2635-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-015-2635-x

Keywords

Search

Navigation