Main Article Content
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.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain the copyright of their manuscripts, and all Open Access articles are distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided that the original work is properly cited.
The use of general descriptive names, trade names, trademarks, and so forth in this publication, even if not specifically identified, does not imply that these names are not protected by the relevant laws and regulations. The submitting author is responsible for securing any permissions needed for the reuse of copyrighted materials included in the manuscript.
While the advice and information in this journal are believed to be true and accurate on the date of its going to press, neither the authors, the editors, nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein.
 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