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Determination of the Fractal Dimensionality of Large-Scale Structure With Type Ia Supernovae by the Method of Pairwise Distances

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A pairwise distance technique developed by the authors is used to identify signs of fractal structure in sets of extragalactic supernovae (822 type Ia supernovae in the regions 300° ≤ α ≤ 360° and 0° ≤ α ≤ 60° , − 5° ≤ δ ≤ 5°). Since the region of space occupied by the objects in the sample is highly oblate, we use Mandelbrot’s codimensionality theorem. Three cosmological models are examined: a model with a euclidean metric, a “tired light” model, and the standard ΛCDM model. Estimates of a fractal dimensionality of D ≅ 2.69 are obtained for the first two models and D ≅ 2.64 for the ΛCDM model.

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References

  1. D. Lennarz, D. Altmann, and C. Wiebusch, Astron. Astrophys. 538, A120 (2012).

    Article  ADS  Google Scholar 

  2. http://cdsarc.u-strasbg.fr/viz-bin/qcat?J/A+A/538/A120

  3. http://heasarc.gsfc.nasa.gov/W3Browse/all/asiagosn.html

  4. http://www.cbat.eps.harvard.edu/lists/Supernovae.html

  5. http://www.sai.msu.su/sn/sncat/

  6. R. Barbon, V. Buondí, E. Cappellaro, and M. Turatto, Astron. Astrophys. Suppl. Ser. 139, 531 (1999).

    Article  ADS  Google Scholar 

  7. J. A. Frieman, et al., Astron. J. 135, 338 (2008).

    Article  ADS  Google Scholar 

  8. A. Raikov and V. Orlov, Mon. Notic. Roy. Astron. Soc. 418, 2558 (2011).

    Article  ADS  Google Scholar 

  9. A. A. Raikov, V. V. Orlov, and O. B. Beketov, Astrofizika 53, 441 (2010).

    Google Scholar 

  10. B. Mandelbrot, The Fractal Geometry of Nature [Russian translation], Institut komp’yuternykh issledovanii, Moscow (2002).

    Google Scholar 

  11. E. Feder, Fractals [Russian translation], Mir, Moscow (1991).

    Google Scholar 

  12. P. A. La Violette, Astrophys. J. 301, 544 (1986).

    Article  ADS  Google Scholar 

  13. Planck Collaboration, ArXiv:1303.5076 (2013).

  14. J. Liske, Mon. Notic. Roy. Astron. Soc. 319, 557 (2000).

    Article  ADS  Google Scholar 

  15. M. Joyce, M. Montuori, and F. Sylos Labini, Astrophys. J. 514, L5 (1999).

    Article  ADS  Google Scholar 

  16. J. Yadav, S. Bharadwaj, B. Pandey, and T. R. Seshadri, Mon. Notic. Roy. Astron. Soc. 364, 601 (2005).

    Article  ADS  Google Scholar 

  17. A. O. Verevkin, Yu. L. Bukhmastova, and Yu. V. Baryshev, Astron. zh. 88, 357 (2011).

    ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Main (Pulkovo) Astronomical Observatory, Russian Academy of Sciences, St. Petersburg, Russia

    A. A. Raikov, V. V. Orlov & R. V. Gerasim

  2. St. Petersburg State University, St. Petersburg, Russia

    V. V. Orlov & R. V. Gerasim

Authors
  1. A. A. Raikov
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  2. V. V. Orlov
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  3. R. V. Gerasim
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Correspondence to A. A. Raikov.

Additional information

Translated from Astrofizika, Vol. 57, No. 2, pp. 309-317 (May 2014).

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Raikov, A.A., Orlov, V.V. & Gerasim, R.V. Determination of the Fractal Dimensionality of Large-Scale Structure With Type Ia Supernovae by the Method of Pairwise Distances. Astrophysics 57, 287–295 (2014). https://doi.org/10.1007/s10511-014-9334-9

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  • DOI: https://doi.org/10.1007/s10511-014-9334-9

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