Fractal analysis of the galaxy distribution in the redshift range0.45≤z≤5.0

• DOI: 10.1016/j.physa.2014.09.044
• Publication Date: 2014-10-09T05:59:18Z
• Authors: G. Conde-Saavedra; A. Iribarrem; Marcelo B. Ribeiro
• Keywords: Statistics and Probability; Power-laws; Large-scale structure of the universe; 0103 physical sciences; Cosmology: galaxy distribution; Fractals: fractal dimension; Galaxies: number counts; Condensed Matter Physics; 01 natural sciences; General Relativity and Quantum Cosmology; Astrophysics - Cosmology and Nongalactic Astrophysics

Evidence is presented that the galaxy distribution can be described as a fractal system in redshift range of FDF survey. The dimension $D$ was derived using volume number densities spatially homogeneous standard cosmological model with $\Omega_{m_0}=0.3$, $\Omega_{\Lambda_0}=0.7$ and $H_0=70 \; \mbox{km} {\mbox{s}}^{-1} {\mbox{Mpc}}^{-1}$. ratio between differential integral $\gamma$ $\gamma^\ast$ obtained from red blue galaxies provides direct method to estimate $D$, implying vary power-laws distances. luminosity distance $d_{\scriptscriptstyle L}$, area G}$ $d_z$ were plotted against their respective calculate by linear fitting. It found characterized two single dimensions at successive ranges. Two straight lines fitted data, whose slopes change $z \approx 1.3$ or 1.9$ depending on chosen distance. average calculated changes $\langle D \rangle=1.4^{\scriptscriptstyle +0.7}_{\scriptscriptstyle -0.6}$ \rangle=0.5^{\scriptscriptstyle +1.2}_{\scriptscriptstyle -0.4}$ for all galaxies, decreases $z$ increases. Small values high mean past distributed much more sparsely large-scale structure then possibly dominated voids. Results Iribarrem et al. (2014, arXiv:1401.6572) indicating similar features \rangle =0.6 \pm 0.1$ far-infrared sources Herschel/PACS evolutionary probe (PEP) $1.5 \lesssim z 3.2$ are also mentioned.