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

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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.

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References

  1. J. Ehlers, P. Geren, R.K. Sachs, J. Math. Phys. (N.Y.) 9, 1344 (1968)

    Article  ADS  Google Scholar 

  2. C.A. Clarkson, R. Barrett, Class. Quantum Grav. 16, 3781 (1999)

    Article  ADS  Google Scholar 

  3. C. Clarkson, R. Maartens, Class. Quantum Grav. 27, 124008 (2010)

    Article  ADS  Google Scholar 

  4. E. Russell, C.B. Kilinc, O.K. Pashaev, Mon. Not. R. Astron. Soc. 442, 2331 (2014)

    Article  ADS  Google Scholar 

  5. W. Percival, Mon. Not. R. Astron. Soc. 381, 1053 (2010)

    Article  ADS  Google Scholar 

  6. H.J. de Vega, M.C. Falvella, N.G. Sanchez, arXiv:1009.3494

  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)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  10. K. Land, J. Magueijo, Phys. Rev. Lett. 95, 071301 (2005)

    Article  ADS  Google Scholar 

  11. J.P. Ralston, P. Jain, Int. J. Mod. Phys. D 13, 1857 (2004)

    Article  ADS  Google Scholar 

  12. A. de Oliveira-Costa, M. Tegmark, M. Zaldarriaga, A. Hamilton, Phys. Rev. D 69, 063516 (2004)

    Article  ADS  Google Scholar 

  13. C.J. Copi, D. Huterer, G.D. Starkman, Phys. Rev. D 70, 043515 (2004)

    Article  ADS  Google Scholar 

  14. H.K. Eriksen, F.K. Hansen, A.J. Banday, K.M. Gorski, P.B. Lilje, Astrophys. J. 605, 14 (2004)

    Article  ADS  Google Scholar 

  15. H.K. Eriksen, F.K. Hansen, A.J. Banday, K.M. Gorski, P.B. Lilje, Astrophys. J. 609, 1198 (2004)

    Article  ADS  Google Scholar 

  16. F.K. Hansen, A.J. Banday, K.M. Gorski, Mon. Not. R. Astron. Soc. 354, 641 (2004)

    Article  ADS  Google Scholar 

  17. P. Vielva, E. Martinez-Gonzalez, R.B. Barreiro, J.L. Sanz, L. Cayon, Astrophys. J. 609, 22 (2004)

    Article  ADS  Google Scholar 

  18. J.D. Barrow, Phys. Rev. D 55, 7451 (1997)

    Article  ADS  Google Scholar 

  19. A. Berera, R.V. Buniy, T.W. Kephart, J. Cosmol. Astropart. Phys. 10, 016 (2004)

    Article  ADS  Google Scholar 

  20. L. Campanelli, P. Cea, L. Tedesco, Phys. Rev. Lett. 97, 131302 (2006)

    Article  ADS  Google Scholar 

  21. L. Campanelli, P. Cea, L. Tedesco, Phys. Rev. D 76, 063007 (2007)

    Article  ADS  Google Scholar 

  22. E. Martinez-Gonzales, J.L. Sanz, Astron. Astrophys. 300, 346 (1995)

    ADS  Google Scholar 

  23. R. Maartens, G.F.R. Ellis, W.R. Stoeger, Astron. Astrophys. 309, L7 (1996)

    ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  26. M.S. Turner, A.G. Riess, Astrophys. J. 569, 18 (2002)

    Article  ADS  Google Scholar 

  27. A.G. Riess et al., Astrophys. J. 607, 665 (2004)

    Article  ADS  Google Scholar 

  28. Y. Gong, A. Wang, Phys. Rev. D 73, 083506 (2005)

    Article  ADS  Google Scholar 

  29. Y. Gong, A. Wang, Phys. Rev. D 75, 043520 (2007)

    Article  ADS  Google Scholar 

  30. J.V. Cunha, J.A.S. Lima, Mon. Not. R. Acad. Sci. 390, 210 (2008)

    Article  ADS  Google Scholar 

  31. J.V. Cunha, Phys. Rev. D 79, 0473301 (2009)

    Google Scholar 

  32. B. Santos, arXiv:1009:2733 [astro-ph.CO]

  33. R. Nair et al., JCAP 01, 018 (2012)

    Article  ADS  Google Scholar 

  34. O. Akarsu et al., EPJ Plus 129, 22 (2014)

    ADS  Google Scholar 

  35. L. Xu, H. Liu, Mod. Phys. Lett. A 23, 1939 (2008)

    Article  ADS  Google Scholar 

  36. L. Xu, H. Liu, Mod. Phys. Lett. A 24, 369 (2009)

    Article  ADS  Google Scholar 

  37. S. del Campo et al., Phys. Rev. D 86, 083509 (2012)

    Article  ADS  Google Scholar 

  38. A.A. Mannon, S. Das, Int. J. Mod. Phys. D 25, 1650032 (2016)

    Article  Google Scholar 

  39. A.H. Taub, Ann. Math. 53, 472 (1951)

    Article  ADS  MathSciNet  Google Scholar 

  40. A. Berera, R.V. Buniy, T.W. Kephart, J. Cosmol. Astropart. Phys. 10, 016 (2004)

    Article  ADS  Google Scholar 

  41. R.V. Buniy, A. Berera, T. Kephart, Phys. Rev. D 73, 063529 (2006)

    Article  ADS  Google Scholar 

  42. J.D. Barrow, Phys. Rev. D 55, 7451 (1997)

    Article  ADS  Google Scholar 

  43. L. Campanelli, P. Cea, G.L. Fogli, L. Tedesco, Int. J. Mod. Phys. D 20, 1153 (2011)

    Article  ADS  Google Scholar 

  44. L. Campanelli, P. Cea, L. Tedesco, Mod. Phys. Lett. A 26, 1169 (2011)

    Article  ADS  Google Scholar 

  45. M. Visser, Class. Quantum Grav. 21, 2603 (2004)

    Article  ADS  Google Scholar 

  46. N.J. Poplawski, Phys. Lett. B 640, 135 (2006)

    Article  ADS  Google Scholar 

  47. M. Dunajski, G. Gibbons, Class. Quantum Grav. 25, 235012 (2008)

    Article  ADS  Google Scholar 

  48. Z.X. Zhai, M.J. Zhang, Z.S. Zhang, X.M. Liu, T.J. Zhang, Phys. Lett. B 727, 8 (2013)

    Article  ADS  Google Scholar 

  49. O. Luongo, Mod. Phys. Lett. A 28, 1350080 (2013)

    Article  ADS  Google Scholar 

  50. M. Dunajski, Gen. Relativ. Gravit. 46, 1814 (2014)

    Article  Google Scholar 

  51. C.C. Dantas, A.L.B. Ribeiro, Phys. Rev. D 93, 043509 (2016)

    Article  ADS  Google Scholar 

  52. A. Mukherjee, N. Banerjee, Phys. Rev. D 93, 043002 (2016)

    Article  ADS  Google Scholar 

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Correspondence to Luigi Tedesco.

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Tedesco, L. Ellipsoidal expansion of the Universe, cosmic shear, acceleration and jerk parameter. Eur. Phys. J. Plus 133, 188 (2018). https://doi.org/10.1140/epjp/i2018-12034-x

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  • DOI: https://doi.org/10.1140/epjp/i2018-12034-x

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