Fractal analysis of the large-scale stellar mass distribution in the Sloan Digital Sky Survey

Abstract

A novel fractal analysis of the cosmic web structure is carried out, employing the Sloan Digital Sky Survey, data release 7. We consider the large-scale stellar mass distribution, unlike other analyses, and determine its multifractal geometry, which is compared with the geometry of the cosmic web generated by cosmological N-body simulations. We find a good concordance, the common features being: (i) a minimum singularity strength equal to one, which corresponds to the edge of diverging gravitational energy and differs from the adhesion model prediction; (ii) a "supercluster set" of relatively high dimension where the mass concentrates; and (iii) a non-lacunar structure, like the one generated by the adhesion model.

20 pages, 9 figures; added analysis of errors in galaxy positions and masses; added references

References in corpus (4)

• K-corrections and filter transformations in the ultraviolet, optical, and near infrared
• The Hubble flow around the Local Group
• Power law correlations in galaxy distribution and finite volume effects from the Sloan Digital Sky Survey Data Release Four
• Halos and voids in a multifractal model of cosmic structure

Cited by in corpus (6)

• The Fractal Geometry of the Cosmic Web and its Formation
• Galaxy Distributions as Fractal Systems
• Correlation function: biasing and fractal properties of the cosmic web
• Scale Symmetry in the Universe
• Scaling laws in the stellar mass distribution and the transition to homogeneity
• Fractional entropy of the Brown-Kuchař dust in fractional anti-de Sitter quantum gravity