, Volume 53, Issue 3, pp 396–408 | Cite as

Inhomogeneities in the spatial distribution of gamma-ray bursts

  • A. A. Raikov
  • V. V. Orlov
  • O. B. Beketov

The distribution of pairwise distances f(l) for different dependences r(z) of the metric distance is used to reveal inhomogeneities in the spatial distribution of 201 long (T 90>2s) gamma-ray bursts with measured redshifts z. For a fractal set with dimensionality D, this function behaves asymptotically as f(l) ∼ l D−1 for small l. Signs of fractal behavior with dimensionality D = 2.2–2.5 show up in all the models considered for the spatial distribution of the gamma-ray bursts. Several spatially distinct groups of gamma-ray bursts are identified. The group with equatorial coordinates ranging from 23h56m to 0h49m and δ from +19° to +23° with redshifts of 0.81–0.94 is examined separately.


cosmology large-scale structure fractals gamma-ray bursts 


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© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.Main (Pulkovo) Astronomical Observatory of the Russian Academy of SciencesSt. PetersburgRussia
  2. 2.St. Petersburg State UniversitySt. PetersburgRussia

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