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Magnetized anisotropic dark energy models with constant deceleration parameter

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Abstract

In this paper, we have studied the solutions of plane-symmetric Universe with variable ω in the presence and the absence of magnetic field of energy density ρ B . A special law of variation for Hubble’s parameter proposed by Bermann in Nuovo Cimento B 74, 182 (1983) has been utilized to solve the field equations. Some physical and kinematical properties of the models are also discussed.

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References

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  3. C L Bennet et al, Astrophys. J. Suppl. Ser. 148, 1 (2003)

    Article  ADS  Google Scholar 

  4. P J Steinhardt, L M Wang, and I Zlatev, Phys. Rev. D 59, 123504 (1999)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. X Zhang, F Q Wu, and J Zhang, J. Cosmol. Astropart. Phys. 01, 003 (2006)

    Article  ADS  Google Scholar 

  8. B Hu and Y Ling, Phys. Rev. D 73, 123510 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  9. H Kim, H W Lee, and Y S Myung, Phys. Lett. B 632, 605 (2006)

    Article  ADS  Google Scholar 

  10. M R Setare, J. Cosmol. Astropart. Phys. 0701, 023 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  11. C Deffayet, G R Dvali, and G Gabadadze, Phys. Rev. D 65, 044023 (2002)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  14. R K Knop et al, Astrophys. J. 598, 102 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  16. Ozgür Akarsü and Can Battal Kılınç, Gen. Relativ. Gravit. 42, 119 (2010)

    Article  Google Scholar 

  17. A K Yadav and L Yadav, Int. J. Theor. Phys. 50, 218 (2011)

    Article  Google Scholar 

  18. S D Tade and M M Sambhe, Prespacetime J. 2(5) (2011)

  19. A Pradhan, H Amirhashchi, and B Saha, Int. J. Theor. Phys. 50, 2923 (2011)

    Article  Google Scholar 

  20. S Kumar and C P Singh, Gen. Relativ. Gravit. 43, 1427 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  21. S D Katore and M M Sancheti, Int. J. Theor. Phys. 50(8), 2477 (2011)

    Article  Google Scholar 

  22. A K Yadav, F Rahaman, S Ray, and G K Goswami, Eur. Phys. J. Plus 127, 127 (2012)

    Article  Google Scholar 

  23. A Pradhan, R Jaiswal, K Jotania, and R K Khare, Astrophys. Space Sci. 337(1), 401 (2012)

    Article  ADS  Google Scholar 

  24. Priyanka, S Chandel, M K Singh and Shri Ram, Global Journal of Science Frontier Research Mathematics and Decision Sciences, Volume 12, Issue 12, Version 1.0 (2012)

  25. Bijan Saha, arXiv:1209.6339v1 [physics.gen-ph] (2012)

  26. Bijan Shah, arXiv:1209.6029v1 [gr-qc] (2012)

  27. K L Mahanta, A K Biswal and P K Sahoo, Can. J. Phys. 92, 295 (2014), DOI:10.1139/cjp-2013-0490

  28. H R Ghate and S Sonttake, Int. J. Astron. Astrophys. 4, 181 (2014)

    Article  Google Scholar 

  29. S D Katore and A Y Shaikh, The African Rev. Phys. 9, 0035 (2014)

    Google Scholar 

  30. S D Katore and A Y Shaikh, Electron. J. Theor. Phys. (2014) (accepted)

  31. P K Sahoo and B Mishra, Eur. Phys. J. Plus 129, 196 (2014)

    Article  Google Scholar 

  32. U K Panigrahi and R C Sahu, Theor. Appl. Mech. 30(3), 163 (2003)

    Article  MathSciNet  Google Scholar 

  33. D D Pawar, S W Bhaware, and A G Deshmukh, Rom. J. Phys. 54(1–2), 187 (2009)

    Google Scholar 

  34. K L Mahanta and A K Biswal, J. Mod. Phys. 3, 1479 (2012)

    Article  Google Scholar 

  35. S D Katore and A Y Shaikh, Rom. J. Phys. 59(7–8), 715 (2014)

    Google Scholar 

  36. K C Jacobs, Astrophs. J. 155, 379 (1969)

    Article  ADS  Google Scholar 

  37. E King and P Coles, Class. Quantum Grav. 24, 2061 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  38. M Sharif and M Zubair arXiv:1005.4480v1 [gr-qc] (2010)

  39. S D Katore, A Y Shaikh, N K Sarkate, and G B Tayade, Prespacetime J. 3(2), 154 (2012)

    Google Scholar 

  40. Ya B Zeldovich, A A Ruzmainkin, and D D Sokoloff, Magnetic field in astrophysics (Gordon and Breach, New York, 1983)

    Google Scholar 

  41. E R Horrison, Phys. Rev. Lett. 30, 188 (1973)

    Article  ADS  Google Scholar 

  42. K S Throne, Astrophys. J. 148, 503 (1967)

    Google Scholar 

  43. R Kantowski and R K Sachs, J. Math. Phys. 7, 433 (1966)

    Article  ADS  MathSciNet  Google Scholar 

  44. J Kristian and R K Sachs, Astrophys. J. 143, 379 (1966)

    Article  ADS  MathSciNet  Google Scholar 

  45. C B Collins, E N Glass, and D A Wilkisons, Gen. Relativ. Gravit. 12, 805 (1980)

    Article  ADS  Google Scholar 

  46. M Sharif and M Zubair, Astrophys. Space Sci. (2010) DOI:10.1007/s10509-010-0414-y

  47. A K Yadav and L Yadav, arXiv:1007.1411v2 [gr-qc] (2010)

  48. M S Bermann, Nuovo Cimento B 74, 182 (1983)

    Article  ADS  Google Scholar 

  49. B Saha and A K Yadav, Astrophys. Space Sci. 341, 651 (2012)

    Article  ADS  Google Scholar 

  50. C P Singh and S Kumar, Int. J. Mod. Phys. D 15, 419 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  51. C P Singh and S Kumar, Astrophys. Space Sci. 310, 31 (2007)

    Article  ADS  Google Scholar 

  52. C P Singh and S Kumar, Pramana – J. Phys. 68, 707 (2007)

    Article  ADS  Google Scholar 

  53. D R K Reddy, M V Subba Rao, and G Koteswara Rao, Astrophys. Space Sci. 306, 171 (2006)

    Article  ADS  Google Scholar 

  54. K S Adhav, A S Nimkar, M R Ugale, and M V Dewanve, Int. J. Theor. Phys. 47, 634 (2008)

    Article  Google Scholar 

  55. J P Singh and P S Bhaghel, Int. J. Phys. 48, 449 (2009)

    Article  Google Scholar 

  56. R G Vishwakarma, Class. Quant. Grav. 17, 3833 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  57. P H Frampton, Mod. Phys. Lett. A 19, 801 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  58. P H Frampton, Phys. Rev. Lett. 37, 1378 (1976)

    Article  ADS  Google Scholar 

  59. B Wang, Y Gong, and E Abdalla, Phys. Rev. D 74, 083520 (2006)

    Article  ADS  Google Scholar 

  60. M Tegmark et al, Astrophys. J. 606, 702 (2004)

    Article  ADS  Google Scholar 

  61. O Akarsu and C B Kilinc, Gen. Relativ. Gravit. 42, 763 (2010)

    Article  ADS  MathSciNet  Google Scholar 

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Acknowledgements

The authors are grateful to the anonymous referee and editor for constructive suggestions to make an improved version of the manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Indira Gandhi Mahavidyalaya, Ralegaon, 445 402, India

    A Y SHAIKH

  2. PG Department of Mathematics, S.G.B. Amravati University, Amravati, 444 602, India

    S D KATORE

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  1. A Y SHAIKH
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  2. S D KATORE
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Correspondence to A Y SHAIKH.

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SHAIKH, A.Y., KATORE, S.D. Magnetized anisotropic dark energy models with constant deceleration parameter. Pramana - J Phys 87, 88 (2016). https://doi.org/10.1007/s12043-016-1272-0

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  • DOI: https://doi.org/10.1007/s12043-016-1272-0

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