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Astrophysics

pp 1–19 | Cite as

Dynamical Behavior of Coupled Magnetized Dark Energy in Lyra's Geometry

  • S. D. KatoreEmail author
  • D. V. Kapse
Article

The axially symmetric space-time with magnetized anisotropic generalized ghost pilgrim dark energy has been investigated in Lyra's geometry. To get a determinate solution, we considered that the expansion scalar θ in the model is proportional to shear scalar σ. We found that the equation of state parameter of generalized ghost pilgrim dark energy behaves like a phantom dark energy. By stability analysis, our model was found to be stable. We have studied the correspondence between the models of generalized ghost pilgrim dark energy and polytropic gas dark energy. Accordingly, the potential and dynamics of the scalar field of the polytropic gas is reconstructed. Moreover, we have calculated various physical and kinematical parameters of the model and observed that these are compatible with recent observations.

Keywords

axially symmetric space-time generalized ghost pilgrim dark energy Lyra's geometry 

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References

  1. 1.
    P. M. Garnavich et al., Astrophys. J., 493, L53, 1998.ADSCrossRefGoogle Scholar
  2. 2.
    P. M. Garnavich et al., Astrophys. J., 509, 74, 1998.ADSCrossRefGoogle Scholar
  3. 3.
    S. Perlmutter et al., Astrophys. J., 483, 565, 1997.ADSCrossRefGoogle Scholar
  4. 4.
    S. Perlmutter et al., Nature, 391, 51, 1998.ADSCrossRefGoogle Scholar
  5. 5.
    S. Perlmutter et al., Astrophys. J., 517, 5, 1999.CrossRefGoogle Scholar
  6. 6.
    A. G. Riess et al., Astron. J., 116, 1009, 1998.ADSCrossRefGoogle Scholar
  7. 7.
    B. P. Schmidt et al., Astrophys. J., 507, 46, 1998.ADSCrossRefGoogle Scholar
  8. 8.
    J. M. Overduin and F. I. Cooperstock, Phys. Rev., D 58, 043506, 1998.ADSCrossRefGoogle Scholar
  9. 9.
    V. Sahni and A. A. Starobinsky, Int. J. Mod. Phys., D 9, 373, 2000.ADSGoogle Scholar
  10. 10.
    E. Komatsu et al., Astrophys. J. Suppl. Ser., 180, 330, 2009.ADSCrossRefGoogle Scholar
  11. 11.
    S. Kachru, R. Kallosh, A. Linde et al., Phys. Rev. D, 68, 046005, 2003.ADSMathSciNetCrossRefGoogle Scholar
  12. 12.
    S. Weinberg, Rev. Mod. Phys., 61, 23, 1989.CrossRefGoogle Scholar
  13. 13.
    S. M. Carroll, Living Reviews in Relativity, 4, 1, 2001.Google Scholar
  14. 14.
    S. Perlmutter et al., Astrophys. J., 598, 102, 2003.ADSCrossRefGoogle Scholar
  15. 15.
    P. Astier et al., Astron. Astrophys., 447, 31, 2006.ADSCrossRefGoogle Scholar
  16. 16.
    C. Wetterich, Nucl. Phys. B, 302, 668, 1988.ADSCrossRefGoogle Scholar
  17. 17.
    B. Ratra, J. Peebles, Phys. Rev. D, 37, 321, 1988.CrossRefGoogle Scholar
  18. 18.
    R. R. Caldwell, Phys. Lett. B, 545, 23, 2002.ADSCrossRefGoogle Scholar
  19. 19.
    S. Nojiri and S. D. Odinstov, Phys. Lett. B, 565, 1, 2003.ADSCrossRefGoogle Scholar
  20. 20.
    S. Nojiri and S. D. Odinstov, Phys. Lett. B, 562, 147, 2003.ADSCrossRefGoogle Scholar
  21. 21.
    T. Chiba, T. Okabe, and M. Yamaguchi, Phys. Rev. D, 62, 023511, 2000.ADSCrossRefGoogle Scholar
  22. 22.
    C. Armendariz-Picon et al., Phys. Rev. Lett., 85, 4438, 2000.ADSCrossRefGoogle Scholar
  23. 23.
    C. Armendariz-Picon et al., Phys. Rev. D, 63, 103510, 2001.ADSCrossRefGoogle Scholar
  24. 24.
    A. Sen, J. High Energy Phys., 04, 048, 2002.Google Scholar
  25. 25.
    T. Padmanabhan and T. R. Chaudhury, Phys. Rev. D, 66, 081301, 2002.ADSCrossRefGoogle Scholar
  26. 26.
    E. Elizalde, S. Nojiri, and S. D. Odintsov, Phys. Rev. D, 70, 043539, 2004.ADSCrossRefGoogle Scholar
  27. 27.
    A. Anisimov, E. Babichev, and A. Vikman, J. Cosmol. Astropart. Phys., 06, 006, 2005.ADSCrossRefGoogle Scholar
  28. 28.
    S. D. Katore et al., Astrophysics, 57, 384, 2014.ADSCrossRefGoogle Scholar
  29. 29.
    M. S. Borkar and A. Ameen, Astrophysics, 60, 242, 2017.ADSCrossRefGoogle Scholar
  30. 30.
    H. Wei, Class. Quantum Gravity, 29, 175008, 2012.ADSCrossRefGoogle Scholar
  31. 31.
    M. Sharif and A. Jawad, Eur. Phys. J. C, 73, 2382, 2013.ADSCrossRefGoogle Scholar
  32. 32.
    M. Sharif and A. Jawad, Eur. Phys. J. C, 73, 2600, 2013.ADSCrossRefGoogle Scholar
  33. 33.
    M. Sharif and S. Rani, J. Exp. Theor. Phys., 119, 75, 2014.ADSCrossRefGoogle Scholar
  34. 34.
    A. Jawad, Astrophys. Space Sci., 356, 119, 2015.ADSCrossRefGoogle Scholar
  35. 35.
    A. Jawad and U. Debnath, Commun. Theor. Phys., 357, 37, 2015.Google Scholar
  36. 36.
    A. Jawad and A. Majeed, Astrophys. Space Sci., 356, 375, 2015.ADSCrossRefGoogle Scholar
  37. 37.
    A. Jawad et al., The Europian Phys. J., 131, 236, 2016.Google Scholar
  38. 38.
    A. Seykhi and M. S. Movahed, Gen. Relativ. Gravit., 44, 449, 2012.ADSCrossRefGoogle Scholar
  39. 39.
    C. J. Feng, X. L. Li, and X. Y. Shen, Mod. Phys. Lett. A, 27, 1250182, 2012.ADSCrossRefGoogle Scholar
  40. 40.
    M. Zubair and G. Abbas, Astrophys. Space Sci., 357, 154, 2015.ADSCrossRefGoogle Scholar
  41. 41.
    J. Sadeghi and M. Khurshudyan, Int. J. Mod. Phys. D, 25, 1650108, 2016.ADSCrossRefGoogle Scholar
  42. 42.
    M. Honarvaryan, A. Sheykhi, and H. Moradpour, Int. J. Mod. Phys. D, 24, 1550048, 2015.ADSCrossRefGoogle Scholar
  43. 43.
    H. Hosseinkhani et al., Theor. Math. Phys., 194, 415, 2018.CrossRefGoogle Scholar
  44. 44.
    H. Hosseinkhani et al., Theor. Phys., 69, 4, 2018.ADSGoogle Scholar
  45. 45.
    A. Jawad, Eur. Phys. J. C, 74, 3215, 2014.CrossRefGoogle Scholar
  46. 46.
    M. Sharif and A. Jawad, Astrophys. Space Sci., 351, 321, 2014.ADSCrossRefGoogle Scholar
  47. 47.
    M. Sharif and K. Nazir, Astrophys. Space Sci., 360, 57, 2015.Google Scholar
  48. 48.
    U. M. Rao and U. Y. D. Prasanti, Can. J. Phys., 94, 1040, 2016.ADSCrossRefGoogle Scholar
  49. 49.
    M. V. Santhi et al., Astrophys. Space Sci., 361, 142, 2016.ADSCrossRefGoogle Scholar
  50. 50.
    M. V. Santhi et al., Int. J. Theor. Phys., 56, 362, 2017.CrossRefGoogle Scholar
  51. 51.
    A. Einstein, Ann. der Phys., 354, 769, 1916.ADSCrossRefGoogle Scholar
  52. 52.
    H. Weyl, Math. Z., 2, 384, 1918.MathSciNetCrossRefGoogle Scholar
  53. 53.
    G. Lyra, Math. Z., 54, 52, 1951.MathSciNetCrossRefGoogle Scholar
  54. 54.
    W. D. Halford, Aust. J. Phys., 23, 863, 1970.ADSCrossRefGoogle Scholar
  55. 55.
    W. D. Halford, J. Math. Phys., 13, 1699, 1972.ADSCrossRefGoogle Scholar
  56. 56.
    K. S. Adhav, Int. J. Astron. Astrophys., 1, 24, 2011.Google Scholar
  57. 57.
    G. C. Samanta, International J. Theor. Phys., 52, 3442, 2013.ADSCrossRefGoogle Scholar
  58. 58.
    J. K. Singh and N. K. Sharma, Int. J. Theor. Phys., 53, 1375, 2014.CrossRefGoogle Scholar
  59. 59.
    D. D. Pawar, Y. S. Solanke, and S. P. Shahare, Bulg. J. Phys., 41, 60 2014.Google Scholar
  60. 60.
    S. D. Katore and S. P. Hatkar, New Astron., 34, 172, 2015.ADSCrossRefGoogle Scholar
  61. 61.
    S. Ram, S. Chandel, and M. K. Verma, Chin. J. Phys., 54, 6, 2016.CrossRefGoogle Scholar
  62. 62.
    S. D. Katore and D. V. Kapse, Pramana J. Phys., 88, 30, 2017.Google Scholar
  63. 63.
    S. Ram, S. Chandel, and M. K. Verma, Proc. Natl. Acad. of Sci., India Sect. A: Phys. Sci., pp.1-6, 2018.Google Scholar
  64. 64.
    K. Das and T. Sultana, Astrophys. Space Sci., 357, 118, 2015.ADSCrossRefGoogle Scholar
  65. 65.
    M. V. Santhi, V. U. M. Rao, and Y. Aditya, Int. J. Theor. Phys., 56, 362, 2017.CrossRefGoogle Scholar
  66. 66.
    S. Bhattacharya and T. M. Karade, Astrophys. Space Sci., 202, 69, 1993.ADSMathSciNetCrossRefGoogle Scholar
  67. 67.
    D. K. Sen, Z. Phys. C, 149, 311, 1957.Google Scholar
  68. 68.
    K. S. Thorne, Astrophys. J., 148, 51, 1967.ADSCrossRefGoogle Scholar
  69. 69.
    S. D. Katore et al., Astrophysics, 59, 525, 2016.ADSCrossRefGoogle Scholar
  70. 70.
    M. Sharif and K. Nazir, Astrophys. Space Sci., 360, 57, 2015.Google Scholar
  71. 71.
    K. Das and T. Sultana, Astrophys. Space Sci., 360, 4, 2015.ADSCrossRefGoogle Scholar
  72. 72.
    A. G. Reiss et al., Astron. J., 607, 665, 2004.CrossRefGoogle Scholar
  73. 73.
    J. L. Torny et al., Astrophys. J., 594, 1, 2003.ADSCrossRefGoogle Scholar
  74. 74.
    A. Clocchiatti et al., Astrophys. J., 642, 1, 2006.ADSCrossRefGoogle Scholar
  75. 75.
    V. Sahni, T. D. Saini, A. A. Starobinsky et al., JETP Lett., 77, 201, 2003.ADSCrossRefGoogle Scholar
  76. 76.
    K. Karami, S. Ghaffari, and J. Fehri, Eur. Phys. J. C, 64, 85, 2009.ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsSant Gadge Baba Amravati UniversiryAmravatiIndia
  2. 2.Department of Mathematics, PRMIT&RAmravatiIndia

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