Skip to main content
Log in

Magnetized anisotropic Bianchi VI0 cosmology in Brans-Dicke gravity

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract.

In this work, we present exact solutions of Brans-Dicke field equations with self-interacting potential U for the Bianchi type \( VI_{0}\) cosmological model filled with magnetized anisotropic matter contents. For this purpose, we use the variation law of the Hubble parameter and its resulting exponential as well as power law volumetric expansions. It is concluded that both the resulting models indicate expanding behavior of the universe with isotropic nature ( \( \delta \rightarrow 0\), \( \Delta\rightarrow 0\) in the presence of magnetized anisotropic fluid.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. E. Komatsu et al., Astrophys. J. Suppl. 180, 330 (2009)

    Article  ADS  Google Scholar 

  2. M. Sharif, S. Waheed, Int. J. Mod. Phys. D 21, 1250055 (2012)

    Article  ADS  Google Scholar 

  3. T. Moon, P. Oh, arXiv:1302.3061

  4. M. Sharif, M. Zubair, Int. J. Mod. Phys. D 19, 1957 (2010)

    Article  ADS  MATH  Google Scholar 

  5. A.S. Al-Rawaf, M.O. Taha, Gen. Relativ. Gravit. 28, 935 (1996)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  6. R.R. CaldWell, R. Dave, P.J. Steinhardt, Phys. Rev. Lett. 80, 1582 (1998)

    Article  ADS  Google Scholar 

  7. E.E. Flanagan, Class. Quantum Grav. 21, 417 (2004)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  8. F. Briscese et al., Phys. Lett. B 646, 105 (2007)

    Article  ADS  Google Scholar 

  9. F.S.N. Lobo, The dark side of gravity: Modified theory of gravity, in Dark Energy-Current Advances and Ideas (2009) pp. 173--204, Research Signpost, ISBN 978-81-308-0341-8, arXiv:0807.1640 [gr-qc]

  10. K. Bamba et al., Phys. Rev. D 79, 083014 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  11. P.A.M. Dirac, Proc. R. Soc. London A 165, 199 (1938)

    Article  ADS  Google Scholar 

  12. S. Weinberg, Gravitation and Cosmology (Wiley, 1972)

  13. C.H. Brans, R.H. Dicke, Phys. Rev. 124, 925 (1961)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  14. G. Lyra, Math. Z. 54, 52 (1951)

    Article  MATH  MathSciNet  Google Scholar 

  15. K. Nordtvedt Jr., Astrophys. J. 161, 1059 (1970)

    Article  ADS  MathSciNet  Google Scholar 

  16. R.V. Wagoner, Phys. Rev. D 1, 3209 (1970)

    Article  ADS  Google Scholar 

  17. D. Saez, V.J. Ballester, Phys. Lett. A 113, 467 (1985)

    Article  ADS  Google Scholar 

  18. S. Ram, J. Math. Phys. 26, 2915 (1985)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  19. H. Farajollahi, M. Farhoudi, H. Shojaie, Int. J. Theor. Phys. 49, 2558 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  20. O. Bertolami, P.J. Martins, Phys. Rev. D 61, 064007 (2000)

    Article  ADS  Google Scholar 

  21. N. Banerjee, D. Pavon, Phys. Rev. D 63, 043504 (2001)

    Article  ADS  Google Scholar 

  22. B. Bertotti, L. Iess, P. Tortora, Nature 425, 374 (2003)

    Article  ADS  Google Scholar 

  23. A.D. Felice et al., Phys. Rev. D 74, 103005 (2006)

    Article  ADS  Google Scholar 

  24. M. Sharif, S. Waheed, Eur. Phys. J. C 72, 1876 (2012)

    Article  ADS  Google Scholar 

  25. C. Romero, A. Barros, Phys. Lett. A 173, 243 (1993)

    Article  ADS  Google Scholar 

  26. N. Banerjee, S. Sen, Phys. Rev. D 56, 1334 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  27. V. Faraoni, Phys. Lett. A 245, 26 (1998)

    Article  ADS  Google Scholar 

  28. Y. Li, F. Wu, X. Chen, Phys. Rev. D 88, 084053 (2013)

    Article  ADS  Google Scholar 

  29. H. Kim, Nuovo Cimento B 112, 329 (1997)

    ADS  Google Scholar 

  30. J.R. Ray, Nuovo Cimento B 71, 19 (1982)

    Article  ADS  Google Scholar 

  31. G. Ballesteros, B. Bellazzini, JCAP 04, 001 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  32. V.U.M. Rao, D. Neelima, Astrophys. Space Sci. 345, 427 (2013)

    Article  ADS  MATH  Google Scholar 

  33. R. Bali, A. Pradhan, H. Amirhashchi, Int. J. Theor. Phys. 47, 2594 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  34. M. Sharif, M. Zubair, Astrophys. Space Sci. 330, 399 (2010)

    Article  ADS  MATH  Google Scholar 

  35. M. Sharif, S. Rani, Mod. Phys. Lett. A 26, 1657 (2011)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  36. R.P. Singh, L. Yadav, Romanian Rep. Phys. 63, 587 (2011)

    Google Scholar 

  37. M. Sharif, H.R. Kausar, Astrophys. Space Sci. 332, 463 (2011)

    Article  ADS  MATH  Google Scholar 

  38. M. Sharif, S. Waheed, J. Exp. Theor. Phys. 115, 599 (2012)

    Article  ADS  Google Scholar 

  39. N. Mostafapoor, O. Gron, arXiv:1306.0501v1

  40. Ö. Akarsu, C.B. Kilinç, Gen. Relativ. Gravit. 42, 763 (2010)

    Article  ADS  Google Scholar 

  41. M. Sharif, M.F. Shamir, Class. Quantum Grav. 26, 235020 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  42. M. Sharif, M. Zubair, Astrophys. Space Sci. 339, 45 (2012)

    Article  ADS  MATH  Google Scholar 

  43. L.K. Patel, S.S. Koppar, J. Austral. Math. Soc. Ser. B 33, 77 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  44. E.M. De Gouveia Dal Pino, arXiv:1003.3884

  45. R. Durrer, A. Neronov, arXiv:1303.7121v2

  46. H. Amirhashchi, Pramana. J. Phys. 80, 723 (2013)

    Article  ADS  Google Scholar 

  47. A.K. Sanyal, C. Rubano, E. Piedipalumbo, Gen. Relativ. Gravit. 35, 1617 (2003)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  48. U. Camci, Y. Kucukakca, Phys. Rev. D 76, 084023 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  49. M. Sharif, S. Waheed, Phys. Scr. 88, 025901 (2013)

    Article  ADS  Google Scholar 

  50. S. Sen, T.R. Seshadri, Int. J. Mod. Phys. D 12, 445 (2003)

    Article  ADS  MATH  Google Scholar 

  51. T.P. Sotiriou, V. Faraoni, Rel. Mod. Phys. 82, 451 (2010)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  52. A. Pradhan, S.K. Singh, Int. J. Mod. Phys. D 13, 503 (2004)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  53. A. Pradhan, P. Pandey, Astrophys. Space Sci. 301, 221 (2006)

    Article  Google Scholar 

  54. C.B. Collins, S.W. Hawking, Astrophys. J. 180, 317 (1973)

    Article  ADS  MathSciNet  Google Scholar 

  55. S.M. Carroll, M. Hoffman, M. Trodden, Phys. Rev. D 68, 023509 (1992)

    Article  ADS  Google Scholar 

  56. A. Lichnerowicz, Relativistic Hydrodynamics and Magnetohydrodynamics (Benjamin, 1967)

  57. R. Maartens, Pramana 55, 575 (2000)

    Article  ADS  Google Scholar 

  58. M.S. Berman, Nuovo Cimento B 74, 182 (1983)

    Article  ADS  Google Scholar 

  59. M.S. Berman, F.M. Gomide, Gen. Relativ. Gravit. 20, 191 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  60. M.R. Setare, M. Jamil, Phys. Lett. B 690, 1 (2010)

    Article  ADS  Google Scholar 

  61. V. Shani et al., JETP Lett. 77, 201 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Sharif.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sharif, M., Shafique, I. Magnetized anisotropic Bianchi VI0 cosmology in Brans-Dicke gravity. Eur. Phys. J. Plus 129, 26 (2014). https://doi.org/10.1140/epjp/i2014-14026-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2014-14026-2

Keywords

Navigation