Ellipsoidal expansion of the Universe, cosmic shear, acceleration and jerk parameter

Regular Article
  • 5 Downloads

Abstract.

In order to study whether the anisotropy of the spacetime may induce differences in the cosmic shear or in the deceleration parameter, we investigate in the Bianchi I Universe the most general expression for the cosmic shear and we study the connections between deceleration parameter and cosmic shear. We also consider a shear parametric approach to measure the transition from a decelerating to an accelerating Universe. We also study the connection between jerk parameter and ellipsoidal Universe.

References

  1. 1.
    J. Ehlers, P. Geren, R.K. Sachs, J. Math. Phys. (N.Y.) 9, 1344 (1968)ADSCrossRefGoogle Scholar
  2. 2.
    C.A. Clarkson, R. Barrett, Class. Quantum Grav. 16, 3781 (1999)ADSCrossRefGoogle Scholar
  3. 3.
    C. Clarkson, R. Maartens, Class. Quantum Grav. 27, 124008 (2010)ADSCrossRefGoogle Scholar
  4. 4.
    E. Russell, C.B. Kilinc, O.K. Pashaev, Mon. Not. R. Astron. Soc. 442, 2331 (2014)ADSCrossRefGoogle Scholar
  5. 5.
    W. Percival, Mon. Not. R. Astron. Soc. 381, 1053 (2010)ADSCrossRefGoogle Scholar
  6. 6.
    H.J. de Vega, M.C. Falvella, N.G. Sanchez, arXiv:1009.3494Google Scholar
  7. 7.
    V.G. Gurzadyan, A.A. Starobinsky, T. Ghahramanyan, A.L. Kashin, H.G. Khachatryan, H. Kuloghlian, D. Vetrugno, G. Yegorian, Astron. Astrophys. 490, 929 (2008)ADSCrossRefGoogle Scholar
  8. 8.
    V.G. Gurzadyan, T. Ghahramanyan, A.L. Kashin, H.G. Khachatryan, A.A. Kocharyan, H. Kuloghlian, D. Vetrugno, G. Yegorian, Astron. Astrophys. 498, L1 (2009)ADSCrossRefGoogle Scholar
  9. 9.
    C.L. Bennet, R.S. Hill, G. Hinshaw, M.R. Nolta, N. Odegard, L. Page, D.N. Spergel, J.L. Weiland, Astrophys. J. Suppl. Ser. 148, 97 (2003)ADSCrossRefGoogle Scholar
  10. 10.
    K. Land, J. Magueijo, Phys. Rev. Lett. 95, 071301 (2005)ADSCrossRefGoogle Scholar
  11. 11.
    J.P. Ralston, P. Jain, Int. J. Mod. Phys. D 13, 1857 (2004)ADSCrossRefGoogle Scholar
  12. 12.
    A. de Oliveira-Costa, M. Tegmark, M. Zaldarriaga, A. Hamilton, Phys. Rev. D 69, 063516 (2004)ADSCrossRefGoogle Scholar
  13. 13.
    C.J. Copi, D. Huterer, G.D. Starkman, Phys. Rev. D 70, 043515 (2004)ADSCrossRefGoogle Scholar
  14. 14.
    H.K. Eriksen, F.K. Hansen, A.J. Banday, K.M. Gorski, P.B. Lilje, Astrophys. J. 605, 14 (2004)ADSCrossRefGoogle Scholar
  15. 15.
    H.K. Eriksen, F.K. Hansen, A.J. Banday, K.M. Gorski, P.B. Lilje, Astrophys. J. 609, 1198 (2004)ADSCrossRefGoogle Scholar
  16. 16.
    F.K. Hansen, A.J. Banday, K.M. Gorski, Mon. Not. R. Astron. Soc. 354, 641 (2004)ADSCrossRefGoogle Scholar
  17. 17.
    P. Vielva, E. Martinez-Gonzalez, R.B. Barreiro, J.L. Sanz, L. Cayon, Astrophys. J. 609, 22 (2004)ADSCrossRefGoogle Scholar
  18. 18.
    J.D. Barrow, Phys. Rev. D 55, 7451 (1997)ADSCrossRefGoogle Scholar
  19. 19.
    A. Berera, R.V. Buniy, T.W. Kephart, J. Cosmol. Astropart. Phys. 10, 016 (2004)ADSCrossRefGoogle Scholar
  20. 20.
    L. Campanelli, P. Cea, L. Tedesco, Phys. Rev. Lett. 97, 131302 (2006)ADSCrossRefGoogle Scholar
  21. 21.
    L. Campanelli, P. Cea, L. Tedesco, Phys. Rev. D 76, 063007 (2007)ADSCrossRefGoogle Scholar
  22. 22.
    E. Martinez-Gonzales, J.L. Sanz, Astron. Astrophys. 300, 346 (1995)ADSGoogle Scholar
  23. 23.
    R. Maartens, G.F.R. Ellis, W.R. Stoeger, Astron. Astrophys. 309, L7 (1996)ADSGoogle Scholar
  24. 24.
    A.G. Riess et al., Astron. J. 116, 1009 (1998)ADSCrossRefGoogle Scholar
  25. 25.
    S. Perlmutter et al., Astrophys. J. 517, 565 (1999)ADSCrossRefGoogle Scholar
  26. 26.
    M.S. Turner, A.G. Riess, Astrophys. J. 569, 18 (2002)ADSCrossRefGoogle Scholar
  27. 27.
    A.G. Riess et al., Astrophys. J. 607, 665 (2004)ADSCrossRefGoogle Scholar
  28. 28.
    Y. Gong, A. Wang, Phys. Rev. D 73, 083506 (2005)ADSCrossRefGoogle Scholar
  29. 29.
    Y. Gong, A. Wang, Phys. Rev. D 75, 043520 (2007)ADSCrossRefGoogle Scholar
  30. 30.
    J.V. Cunha, J.A.S. Lima, Mon. Not. R. Acad. Sci. 390, 210 (2008)ADSCrossRefGoogle Scholar
  31. 31.
    J.V. Cunha, Phys. Rev. D 79, 0473301 (2009)Google Scholar
  32. 32.
    B. Santos, arXiv:1009:2733 [astro-ph.CO]Google Scholar
  33. 33.
    R. Nair et al., JCAP 01, 018 (2012)ADSCrossRefGoogle Scholar
  34. 34.
    O. Akarsu et al., EPJ Plus 129, 22 (2014)ADSGoogle Scholar
  35. 35.
    L. Xu, H. Liu, Mod. Phys. Lett. A 23, 1939 (2008)ADSCrossRefGoogle Scholar
  36. 36.
    L. Xu, H. Liu, Mod. Phys. Lett. A 24, 369 (2009)ADSCrossRefGoogle Scholar
  37. 37.
    S. del Campo et al., Phys. Rev. D 86, 083509 (2012)ADSCrossRefGoogle Scholar
  38. 38.
    A.A. Mannon, S. Das, Int. J. Mod. Phys. D 25, 1650032 (2016)CrossRefGoogle Scholar
  39. 39.
    A.H. Taub, Ann. Math. 53, 472 (1951)ADSMathSciNetCrossRefGoogle Scholar
  40. 40.
    A. Berera, R.V. Buniy, T.W. Kephart, J. Cosmol. Astropart. Phys. 10, 016 (2004)ADSCrossRefGoogle Scholar
  41. 41.
    R.V. Buniy, A. Berera, T. Kephart, Phys. Rev. D 73, 063529 (2006)ADSCrossRefGoogle Scholar
  42. 42.
    J.D. Barrow, Phys. Rev. D 55, 7451 (1997)ADSCrossRefGoogle Scholar
  43. 43.
    L. Campanelli, P. Cea, G.L. Fogli, L. Tedesco, Int. J. Mod. Phys. D 20, 1153 (2011)ADSCrossRefGoogle Scholar
  44. 44.
    L. Campanelli, P. Cea, L. Tedesco, Mod. Phys. Lett. A 26, 1169 (2011)ADSCrossRefGoogle Scholar
  45. 45.
    M. Visser, Class. Quantum Grav. 21, 2603 (2004)ADSCrossRefGoogle Scholar
  46. 46.
    N.J. Poplawski, Phys. Lett. B 640, 135 (2006)ADSCrossRefGoogle Scholar
  47. 47.
    M. Dunajski, G. Gibbons, Class. Quantum Grav. 25, 235012 (2008)ADSCrossRefGoogle Scholar
  48. 48.
    Z.X. Zhai, M.J. Zhang, Z.S. Zhang, X.M. Liu, T.J. Zhang, Phys. Lett. B 727, 8 (2013)ADSCrossRefGoogle Scholar
  49. 49.
    O. Luongo, Mod. Phys. Lett. A 28, 1350080 (2013)ADSCrossRefGoogle Scholar
  50. 50.
    M. Dunajski, Gen. Relativ. Gravit. 46, 1814 (2014)CrossRefGoogle Scholar
  51. 51.
    C.C. Dantas, A.L.B. Ribeiro, Phys. Rev. D 93, 043509 (2016)ADSCrossRefGoogle Scholar
  52. 52.
    A. Mukherjee, N. Banerjee, Phys. Rev. D 93, 043002 (2016)ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Dipartimento di Fisica dell’Università di BariBariItaly
  2. 2.INFNSezione di BariBariItaly

Personalised recommendations