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ΛCDM model with a scalar perturbation vs. preferred direction of the universe

  • Regular Article - Theoretical Physics
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Abstract

We present a scalar perturbation for the ΛCDM model, which breaks the isotropic symmetry of the universe. Based on the Union2 data, the least-χ 2 fit of the scalar perturbed ΛCDM model shows that the universe has a preferred direction (l,b)=(287∘±25∘,11∘±22∘). The magnitude of scalar perturbation is about −2.3×10−5. The scalar perturbation for the ΛCDM model implies a peculiar velocity, which is perpendicular to the radial direction. We show that the maximum peculiar velocities at redshift z=0.15 and z=0.015 equal to 73±28 km s−1 and 1099±427 km s−1, respectively. They are compatible with the constraints on the peculiar velocity given by the Planck Collaboration.

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References

  1. V. Sahni, Class. Quantum Gravity 19, 3435 (2002)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  2. T. Padmanabhan, Phys. Rep. 380, 235 (2003)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  3. E. Komatsu et al. (WMAP Collaboration), Astrophys. J. Suppl. 192, 18 (2011)

    Article  ADS  Google Scholar 

  4. Planck Collaboration, arXiv:1303.5062

  5. N. Suzuki et al., Astrophys. J. 746, 85 (2012)

    Article  ADS  Google Scholar 

  6. L. Perivolaropoulos, arXiv:1104.0539

  7. I. Antoniou, L. Perivolaropoulos, J. Cosmol. Astropart. Phys. 1012, 012 (2012)

    ADS  Google Scholar 

  8. R. Watkins, H.A. Feldman, M.J. Hu dson, Mon. Not. R. Astron. Soc. 392, 743 (2009)

    Article  ADS  Google Scholar 

  9. G. Hinshaw et al., Astrophys. J. Suppl. 180, 225 (2009)

    Article  ADS  Google Scholar 

  10. Planck Collaboration, arXiv:1303.5083

  11. T. Koivisto, D.F. Mota, Phys. Rev. D 73, 083502 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  12. S. Alexander, T. Biswas, A. Notari, D. Vaid, J. Cosmol. Astropart. Phys. 0909, 025 (2009)

    Article  ADS  Google Scholar 

  13. J. Garcia-Bellido, T. Haugboelle, J. Cosmol. Astropart. Phys. 0804, 003 (2008)

    Article  ADS  Google Scholar 

  14. E. Akofor et al., J. High Energy Phys. 0805, 092 (2008)

    Article  ADS  Google Scholar 

  15. T.S. Koivisto, D.F. Mota, M. Quartin, T.G. Zlosnik, Phys. Rev. D 83, 023509 (2011)

    Article  ADS  Google Scholar 

  16. Z. Chang, M.-H. Li, X. Li, S. Wang, Eur. Phys. J. C 73, 2459 (2013)

    Article  ADS  Google Scholar 

  17. S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (Wiley, New York, 1972)

    Google Scholar 

  18. Planck Collaboration, arXiv:1303.5090

  19. R. Amanullah et al., Astrophys. J. 716, 712 (2010)

    Article  ADS  Google Scholar 

  20. A. Kogut et al., Astrophys. J. 419, 1 (1993)

    Article  ADS  Google Scholar 

  21. R.-G. Cai, Z.-L. Tuo, J. Cosmol. Astropart. Phys. 1202, 004 (2012)

    Article  ADS  Google Scholar 

  22. B. Kalus et al., Astron. Astrophys. 553, A56 (2013)

    Article  ADS  Google Scholar 

  23. R.G. Cai, Y.Z. Ma, B. Tang, Z.L. Tuo, Phys. Rev. D 87, 123522 (2013)

    Article  ADS  Google Scholar 

  24. K. Rosquist, R.T. Jantzen, Phys. Rep. 166, 89 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  25. C.W. Misner, K.S. Thorne, J.A. Wheeler, Gravitation (Freeman, San Francisco, 1973)

    Google Scholar 

Download references

Acknowledgements

We would like to thank Y.G. Jiang for useful discussions. Project 11375203 and 11305181 supported by NSFC.

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Authors and Affiliations

  1. Institute of High Energy Physics, Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, 100049, Beijing, China

    Xin Li, Hai-Nan Lin, Sai Wang & Zhe Chang

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  1. Xin Li
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  2. Hai-Nan Lin
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  3. Sai Wang
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  4. Zhe Chang
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Correspondence to Xin Li.

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Li, X., Lin, HN., Wang, S. et al. ΛCDM model with a scalar perturbation vs. preferred direction of the universe. Eur. Phys. J. C 73, 2653 (2013). https://doi.org/10.1140/epjc/s10052-013-2653-x

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  • DOI: https://doi.org/10.1140/epjc/s10052-013-2653-x

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