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ΛCDM type Heckmann–Schuking model and Union 2.1 compilation

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Abstract

We study a ΛCDM type cosmological model in Heckmann-Schucking space-time, by using 287 high redshift (.3 ≤ z ≤ 1.4) SN Ia data on observed absolute magnitude along with their possible error from Union 2.1 compilation. We use the χ2 test to compare Union 2.1 compilation observed data and the corresponding theoretical values of the apparent magnitude (m). It is found that the best fit value of (Ω m )0, (ΩΛ)0 and (Ω σ )0 are 0.2940, 0.7058 and 0.0002, respectively, and the derived model represents the features of an accelerating universe which is consistent with the recent astrophysical observations.

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References

  1. P. A. R. Ade et al., “The Second Planck Catalogue of Compact Sources,” arXiv: 1303.5076v3.

  2. U. Alam, V. Sahni, T. D. Saini, and A. A. Starobinsky, Month. Not. Roy. Astron. Soci. 344, 1057 (2003).

    Article  ADS  Google Scholar 

  3. O. Akarsu and C. B. Kilinc, Gen. Relat. Grav. 42, 119 (2010).

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  5. P. Astier et al., Astron. Astrophys. 447, 31 (2006).

    Article  ADS  Google Scholar 

  6. R. R. Caldwell, W. Knowp, L. Parker, and D. A. T. Vanzella, Phys. Rev. D 73, 023513 (2006).

    Article  ADS  Google Scholar 

  7. S. M. Carroll, W. H. Press, and E. L. Turner, Ann. Rev. Astron. Astrophys. 30, 499 (1992).

    Article  ADS  Google Scholar 

  8. E. J. Copeland, M. Sami, and S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006).

    Article  ADS  MathSciNet  Google Scholar 

  9. A. Freedman et al., Astrophys. J. 553, 47 (2001).

    Article  ADS  Google Scholar 

  10. G. K. Goswami, A. K. Yadav, and M. Mishra, Int. J. Theor. Phys. 54, 315 (2015).

    Article  MathSciNet  Google Scholar 

  11. O. Grøn and S. Hervik, Einstein’s General Theory of Relativity with Modern Application in Cosmology (Springer, 2007).

    Book  MATH  Google Scholar 

  12. G. Hinshaw et al., Astrophys. J. Suppl. 208, 19 (2013).

    Article  ADS  Google Scholar 

  13. T. Koivisto and D. F. Mota, “Anisotropic dark energy: dynamics of the background and perturbations,” arXiv: 0801.3676.

  14. E. E. Komastu et al., Astrophys. J. Suppl. Ser. 180, 330 (2009).

    Article  ADS  Google Scholar 

  15. S. Kumar and A. K. Yadav, Mod. Phys. Lett. A 26, 647 (2011).

    Article  ADS  Google Scholar 

  16. C. W. Misner, Astrophys. J. 151, 431 (1968).

    Article  ADS  Google Scholar 

  17. T. Koivisto and D. F. Mota, Astrophys. J. 679, 1 (2008).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  19. A. Pradhan, Res. Astron. Astrophys. 13, 139 (2013).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  21. A. G. Riess et al., Astron. J. 607, 665 (2004).

    Article  Google Scholar 

  22. B. Saha and A. K. Yadav, Astrophys. Space Sci. 341, 651 (2012).

    Article  ADS  Google Scholar 

  23. M. R. Setare and E. N. Saridakis, Phys. Lett. B 668, 177 (2008).

    Article  ADS  Google Scholar 

  24. M. R. Setare and E. N. Saridakis, JCAP 0903, 002 (2009).

    Article  ADS  Google Scholar 

  25. D. N. Spergel et al., Astrophys. J. Suppl. Ser. 148, 175 (2003).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  27. A. K. Yadav and L. Yadav, Int. J. Theor. Phys. 50, 218 (2011).

    Article  Google Scholar 

  28. A. K. Yadav, F. Rahaman, and S. Ray, Int. J. Theor. Phys. 50, 871 (2011).

    Article  Google Scholar 

  29. A. K. Yadav, F. Rahaman, S. Ray, and G. K. Goswami, Euro. Phys. J. Plus 127, 127 (2012).

    Article  Google Scholar 

  30. A. K. Yadav, Astrophys. Space Sc. 335, 565 (2012).

    Article  ADS  Google Scholar 

  31. O. Heckmann and E. Schucking, Gravitation: An Introduction to Current Research (Willey, New York, 1962).

    Google Scholar 

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Correspondence to G. K. Goswami or Anil Kumar Yadav.

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Goswami, G.K., Dewangan, R.N. & Yadav, A.K. ΛCDM type Heckmann–Schuking model and Union 2.1 compilation. Gravit. Cosmol. 22, 388–393 (2016). https://doi.org/10.1134/S0202289316040083

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  • DOI: https://doi.org/10.1134/S0202289316040083

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