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

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

Research output

Abstract

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. © 2014 Springer Science+Business Media New York.
Original languageEnglish
Pages (from-to)287-295
JournalAstrophysics
Issue number2
DOIs
Publication statusPublished - 2014
Externally publishedYes

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