Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-05-17
Gen. Rel. Gravit. 36 (2004) 151-184
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
3 latex files, 18 ps figures
Scientific paper
10.1023/B:GERG.0000006699.45969.
The multifractal spectrum of various three-dimensional representations of Packed Swiss Cheese cosmologies in open, closed, and flat spaces are measured, and it is determined that the curvature of the space does not alter the associated fractal structure. These results are compared to observational data and simulated models of large scale galaxy clustering, to assess the viability of the PSC as a candidate for such structure formation. It is found that the PSC dimension spectra do not match those of observation, and possible solutions to this discrepancy are offered, including accounting for potential luminosity biasing effects. Various random and uniform sets are also analyzed to provide insight into the meaning of the multifractal spectrum as it relates to the observed scaling behaviors.
Dyer Charles C.
Mureika Jonas Roman
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