ON THE DISTRIBUTION OF LUMINOUS MATTER IN A FRIEDMANN UNIVERSE
The Friedmann model is considered through stereographic projection of the Friedmann-Roberson-Walker metric for open, flat and closed matter-dominated universe. A relation between redshift and number density of galaxies is derived on the platform of this metric while neglecting the effects of dark matter and dark energy. The derived relation is observed to have the potential to test the fractal-homogeneous nature of our universe based on accurate future observational data.
 B. V. Michal, Principles of Cosmology and Gravitation. Institute of Physics Publishing, Bristol (1989), 3-17
 L. Pietronero, F. S. Labini, M. Montuori, The debate of galaxy cor- relations and its theoretical implications, (arXiv:astro-phy/9510027
 M. Joyce, L. F. Sylos, A.Gabriel, M. Montuori, L.Pietronero, Basic
properties of galaxy clustering in the light of recent results from the
Sloan Digital Sky Survey, A&A, 443, (2005), 11-16
 G. Richard, Advancing the physics of cosmic distances: con-
ference summary, Proceedings IAU symbossium No.289 (2012)
 M. Potashov, S. Blinnikov, P. Baklanov1, and A. Dolgov1, Direct dis-
tance measurements to SN 2009ip. MNRAS, 000, (2012), 1-10
 D.S. wamalwa, On the Friedmann Cosmology, I nternational Jour-
nal of Pure and Applied Mathematics, 107, 4(2016), 803-818.
 F. L. Sylos, M. Montuori, L. Pietronero, Scale-invariance of Galaxy
Clustering, Physics report, 293, 2(1998), 61-226
 R.B. Marcelo, On modelling a relativistic hierarchical model (Fractal)
cosmology by Tolman's spacetime II: Analysis of the Einstein-De Sitter
model, ApJ, 388 (1992), 29-33
 B. Yurij, T. Pekker, Fractal Approach to LargeScale Galaxy Distribu-
 B. Marcelo, Y. M. Alexandre, Fractals and the distribution of galaxies,
Braz. J. Phys, 28, 2(1998), 132-160
 R. M. Wald, General Relatity. University of Chicago Press Ltd., Lon-
don (1994), 91-102
This work is licensed under a Creative Commons Attribution 4.0 International License.