Reconstruction of the Einstein-Aether gravity from other modified gravity models

Regular Article
  • 43 Downloads

Abstract.

We briefly describe the modified Friedmann equations for Einstein-Aether gravity theory and we find the effective density and pressure. The purpose of our present work is the reconstruction of Einstein-Aether Gravity from other modified gravities like f (T) , f (R) , f (G) , f (R, T) and f (R, G) and check its viability. The scale factor is chosen in power law form. The free function F(K) for Einstein-Aether gravity (where K is proportional to H2) have been found in terms of K by the correspondence between Einstein-Aether gravity and other modified gravities and the nature of F(K) vs. K have been shown graphically for every cases. Finally, we analyzed the stability of each reconstructed Einstein-Aether gravity model.

Keywords

Dark Energy Gravity Model Gravity Theory Dark Energy Model Friedmann Equation 

References

  1. 1.
    B. Gold et al., Astrophys. J. Suppl. 180, 265 (2009)CrossRefADSGoogle Scholar
  2. 2.
    M.R. Nolta et al., Astrophys. J. Suppl. 180, 296 (2009)CrossRefADSGoogle Scholar
  3. 3.
    N.A. Bachall et al., Science 284, 1481 (1999)CrossRefADSGoogle Scholar
  4. 4.
    S.J. Perlmutter et al., Astrophys. J. 517, 565 (1999)CrossRefADSGoogle Scholar
  5. 5.
    S.J. Perlmutter et al., Nature 391, 51 (1998)CrossRefADSGoogle Scholar
  6. 6.
    Supernova Search Team Collaboration (A.G. Riess et al.), Astron. J. 116, 1009 (1998)CrossRefADSGoogle Scholar
  7. 7.
    A.G. Riess et al., Astrophys. J. 607, 665 (2004)CrossRefADSGoogle Scholar
  8. 8.
    C. Bennet et al., Phys. Rev. Lett. 85, 2236 (2000)CrossRefADSGoogle Scholar
  9. 9.
    D.N. Spergel et al., Astrophys. J. Suppl. Ser. 170, 377 (2007)CrossRefADSGoogle Scholar
  10. 10.
    V. Sahni et al., Int. J. Mod. Phys. D 15, 2105 (2006)MathSciNetCrossRefMATHADSGoogle Scholar
  11. 11.
    M. Seikel et al., JCAP 06, 036 (2012)CrossRefADSGoogle Scholar
  12. 12.
    C. Clarkson et al., Phys. Rev. Lett. 104, 211301 (2010)CrossRefADSGoogle Scholar
  13. 13.
    X.M. Liu et al., Astrophys. Space Sci. 334, 203 (2011)CrossRefMATHADSGoogle Scholar
  14. 14.
    D.N. Vollick, Phys. Rev. D 76, 124001 (2007)MathSciNetCrossRefADSGoogle Scholar
  15. 15.
    F. Briscese et al., Phys. Lett. B 646, 105 (2007)CrossRefADSGoogle Scholar
  16. 16.
    S.M. Carroll et al., Phys. Rev. D 70, 043528 (2004)CrossRefADSGoogle Scholar
  17. 17.
    M.C.B. Abdalla et al., Class. Quantum Grav. 22, L35 (2005)MathSciNetCrossRefMATHADSGoogle Scholar
  18. 18.
    E.V. Linder, Phys. Rev. D 81, 127301 (2010)CrossRefADSGoogle Scholar
  19. 19.
    S. Nojiri et al., Phys. Rev. D 68, 123512 (2003)MathSciNetCrossRefADSGoogle Scholar
  20. 20.
    S. Nojiri et al., Int. J. Geom. Methods Mod. Phys. 4, 115 (2007)MathSciNetCrossRefMATHGoogle Scholar
  21. 21.
    S. Nojiri et al., Phys. Lett. B 659, 821 (2008)MathSciNetCrossRefMATHADSGoogle Scholar
  22. 22.
    B. Li, J.D. Barrow, Phys. Rev. D 75, 084010 (2007)MathSciNetCrossRefADSGoogle Scholar
  23. 23.
    S. Nojiri, S.D. Odintsov, Phys. Rev. D 74, 086005 (2006)MathSciNetCrossRefADSGoogle Scholar
  24. 24.
    B. Li et al., Phys. Rev. D 83, 104017 (2011)CrossRefADSGoogle Scholar
  25. 25.
    R. Myrzakulov, Eur. Phys. J. C 71, 1752 (2011)CrossRefADSGoogle Scholar
  26. 26.
    P. Wu et al., Eur. Phys. J. C 71, 1552 (2011)CrossRefADSGoogle Scholar
  27. 27.
    A.R. Rastkar et al., Astrophys. Space Sci. 337, 487 (2012)CrossRefMATHADSGoogle Scholar
  28. 28.
    S. Nojiri et al., Phys. Rev. D 71, 123509 (2005)CrossRefADSGoogle Scholar
  29. 29.
    S. Nojiri, S.D. Odintsov, Phys. Lett. B 631, 1 (2005)MathSciNetCrossRefMATHADSGoogle Scholar
  30. 30.
    T. Harko et al., Phys. Rev. D 84, 024020 (2011)CrossRefADSGoogle Scholar
  31. 31.
    M. Jamil et al., Eur. Phys. J. C 72, 1999 (2012)CrossRefADSGoogle Scholar
  32. 32.
    K. Bamba et al., Eur. Phys. J. C 67, 295 (2010)CrossRefADSGoogle Scholar
  33. 33.
    R. Myrzakulov et al., Gen. Relativ. Gravit. 45, 675 (2013)MathSciNetCrossRefMATHADSGoogle Scholar
  34. 34.
    M.R. Setare et al., Phys. Lett. B 670, 1 (2008)CrossRefADSGoogle Scholar
  35. 35.
    X.L. Liu et al., Commun. Theor. Phys. 52, 761 (2009)CrossRefADSGoogle Scholar
  36. 36.
    M.R. Setare, Astrophys. Space Sci. 326, 27 (2010)CrossRefMATHADSGoogle Scholar
  37. 37.
    M. Jamil et al., JCAP 07, 028 (2010)CrossRefADSGoogle Scholar
  38. 38.
    M.R. Setare et al., EPL 92, 49003 (2010)CrossRefADSGoogle Scholar
  39. 39.
    A. Jawad et al., Astrophys. Space Sci. 344, 489 (2013)CrossRefADSGoogle Scholar
  40. 40.
    U. Debnath (2013) arXiv:1311.0437[gr-qc]
  41. 41.
    T. Jacobson et al., Phys. Rev. D 64, 024028 (2001)MathSciNetCrossRefADSGoogle Scholar
  42. 42.
    T.G. Zlosnik et al., Phys. Rev. D 75, 044017 (2007)CrossRefADSGoogle Scholar
  43. 43.
    X. Meng et al., Phys. Lett. B 710, 493 (2012)CrossRefADSGoogle Scholar
  44. 44.
    T. Jacobson et al., Phys. Rev. D 70, 024003 (2004)CrossRefADSGoogle Scholar
  45. 45.
    T. Clifton et al., Phys. Rep. 513, 1 (2012)MathSciNetCrossRefADSGoogle Scholar
  46. 46.
    S.M. Carroll et al., Phys. Rev. D 70, 123525 (2004)CrossRefADSGoogle Scholar
  47. 47.
    M. Sharif et al., JCAP 03, 028 (2012)CrossRefADSGoogle Scholar
  48. 48.
    Y.S. Myung, Phys. Lett. B 652, 223 (2007)MathSciNetCrossRefMATHADSGoogle Scholar
  49. 49.
    K.Y. Kim, H.W. Lee, Y.S. Myung, Phys. Lett. B 660, 118 (2008)CrossRefADSGoogle Scholar
  50. 50.
    A. Jawad, S. Chattopadhyay, A. Pasqua, Eur. Phys. J. Plus 128, 88 (2013)CrossRefGoogle Scholar
  51. 51.
    E. Ebrahimi, A. Sheykhi, Int. J. Mod. Phys. D 20, 2369 (2011)CrossRefMATHADSGoogle Scholar
  52. 52.
    M. Sharif, A. Jawad, Eur. Phys. C 72, 2097 (2012)CrossRefADSGoogle Scholar
  53. 53.
    M.R. Setare, Phys. Lett. B 654, 1 (2007)CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of MathematicsSeacom Engineering CollegeHowrahIndia
  2. 2.Department of MathematicsIndian Institute of Engineering Science and TechnologyHowrahIndia

Personalised recommendations