Test Homogeneity of Large Scale Structure from SDSS Data

Details Test Homogeneity of Large Scale Structure from SDSS Data Test Homogeneity of Large Scale Structure from SDSS Data

Jul 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009acasn..50..254g&link_type=abstract

Acta Astronomica Sinica, vol. 50, no. 3, p. 254-260

Mathematics

Logic

Cosmology: Distance Scale, Large-Scale Structure Of Universe

Scientific paper

One of primary assumptions in cosmology is that the universe is homogeneous and isotropic at large scales. This assumption is the most important keystone of modern cosmology. In order to verify the homogeneity of galaxy distribution at large scales, we have computed the fractal dimensionality of galaxies distribution in SDSS-DR4. The fractal dimensionality of survey space geometry can be determined by random samples. The redshifts of galaxies in samples are from 0.01 to 0.26. As scale growing to dozens of Mpc, the fractal dimensionality of galaxies distribution gets close to 3. All the six samples show obvious transition scales. For scales larger than transition scale, the fractal dimensionality DG is very close to 3, which means the galaxies distribution is homogeneous. All these results support the assumption that the universe is homogeneous at large scales. The assumption is verified for scales larger than this transition scale. The transition scales increase as the luminosity of samples grows which means the distribution of galaxies is not a simple fractal distribution, but a multi-fractal distribution. This distribution becomes odd for high-luminosity galaxies. Transition scales of high-luminosity samples are very large. The samples do not become homogeneous until 100h-1 Mpc. To restrict all the cosmological parameters accurately, the effect of very large scales with odd distribution should be considered.

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