Abstract
The cosmological principle in its various versions states that: (i) the galaxy does not occupy a particular position, (ii) the Universe is homogeneous and isotropic. This statement does not agree with the recent astronomical observations in the range z lower than 0.05 which are in agreement with a cellular structure of the Universe. Here we present a local analysis of the inhomogeneity of the Universe. When z is greater than 0.05 our analysis cannot be applied because the astronomical sample of galaxies here processed is not complete. The two tools of the Poisson Voronoi Tessellation (PVT) and the luminosity function for galaxies allow building a new version of the local cosmological principle.
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Bagla, J. S., Yadav, J., Seshadri, T. R. 2008, Mon Not. R. Astron. Soc., 390, 829.
Behr, A. 1951, Astron. Nachr., 279, 97.
Blanton, M. R., Roweis, S. 2007, Astron. J., 133, 734.
Borgani, S., Murante, G., Provenzale, A., Valdarnini, R. 1993, Phys. Rev. E47, 3879.
Brynjolfsson, A. 2009, in: Astronomical Society of the Pacific Conference Series, Astronomical Society of the Pacific Conference Series (ed.) F. Potter, vol. 413, pp. 169–189.
Cole, S. et al. 2001, Mon. Not. R. Astron. Soc., 326, 255.
Colless, M., Dalton, G., Maddox, S. et al. 2001, Mon. Not. R. Astron. Soc., 328, 1039.
Crook, A. C., Huchra, J. P., Martimbeau, N., Masters, K. L., Jarrett, T., Macri, L. M. 2007, Astrophys. J., 655, 790.
Geller, M. J., Huchra, J. P. 1989, Science, 246, 897.
Hogg, D. W., Eisenstein, D. J., Blanton, M. R., Bahcall, N. A., Brinkmann, J., Gunn, J. E., Schneider, D. P. 2005, Astrophys. J., 624, 54.
Hubble, E. 1929, Proc. Natl. Acad. Sci., 15, 168.
Huchra, J. P., Macri, L. M., Masters, K. L. et al. 2012, Astrophys. J. Suppl., 199, 26.
Jarrett, T. 2004, Publ. Astron. Soc. Australia, 21, 396.
Jones, D. H., Saunders, W., Colless, M., Read, M. A., Parker, Q. A. 2004, Mon. Not. R. Astron. Soc., 355, 747.
Keel, W. C. 2007, The road to galaxy formation (Springer, Berlin).
Keselman, J. A., Nusser, A., Peebles, P. J. E. 2010, Phys. Rev. D81, 063521.
Liddle, A., Loveday, J. 2009, The Oxford Companion to Cosmology (Oxford University Press, Oxford).
Malmquist, K. 1920, Lund Medd. Ser. II, 22, 1.
Malmquist, K. 1922, Lund Medd. Ser. I, 100, 1.
Mészáros, A., Balazs, L. G., Bagoly, Z., Veres, P. 2009a, in: American Institute of Physics Conference Series, American Institute of Physics Conference Series (eds) C. Meegan, C. Kouveliotou & N. Gehrels, vol. 1133, pp. 483–485.
Mészáros, A., Balázs, L. G., Bagoly, Z., Veres, P. 2009b, Baltic Astron., 18, 293.
Okabe, A., Boots, B., Sugihara, K. 1992, Spatial Tessellations, Concepts and Applications of Voronoi diagrams (Wiley, Chichester, New York).
Padmanabhan, T. 1996, Cosmology and Astrophysics through Problems (Cambridge University Press, Cambridge).
Pan, D. C., Vogeley, M. S., Hoyle, F., Choi, Y.-Y., Park, C. 2012, Mon. Not. R. Astron. Soc., 421, 926.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., Flannery, B. P. 1992, Numerical Recipes in FORTRAN, The Art of Scientific Computing (Cambridge University Press, Cambridge).
Ryden, B. 2003, Introduction to Cosmology (Addison Wesley, San Francisco, CA, USA).
Sarkar, P., Yadav, J., Pandey, B., Bharadwaj, S. 2009, Mon. Not. R. Astron. Soc., 399, L128.
Schechter, P. 1976, Astrophys. J., 203, 297.
Schwarz, D. J. 2009, eprint arXiv:0905.0384.
van de Weygaert, R., Icke, V. 1989, Astron. Astrophys., 213, 1.
Yadav, J. K., Bagla, J. S., Khandai, N. 2010, Mon. Not. R. Astron. Soc., 405, 2009.
Zaninetti, L. 1991, Astron. Astrophys., 246, 291.
Zaninetti, L. 1995, Astron. Astrophys. Suppl., 109, 71.
Zaninetti, L. 2006, Chinese J. Astron. Astrophys., 6, 387.
Zaninetti, L. 2009, Phys. Lett., A373, 3223.
Zaninetti, L. 2010, Revista Mexicana de Astronomia y Astrofisica, 46, 115.
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Zaninetti, L. Revisiting the Cosmological Principle in a Cellular Framework. J Astrophys Astron 33, 399–416 (2012). https://doi.org/10.1007/s12036-012-9155-3
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DOI: https://doi.org/10.1007/s12036-012-9155-3