On the Generation of a Bubbly Universe: A Quantitative Assessment of the CfA Slice
Abstract
A first assay is made at calculating the properties of the matter distribution in a universe filled with overlapping bubbles produced by multiple explosions. Each spherical shell follows the cosmological SedovTaylor solution until it encounters another shell. Thereafter mergers are allowed to occur in pairs on the basis of Nbody results. At the final epoch (z = 0) the matrix of overlapping shells is populated with "galaxies" and the properties of slices through the numerically constructed cube are compared with the recent CfA survey. Adopting {OMEGA} = {OMEGA}_b_ = 0.2, we find the models compare well with the observations if the initial explosions (which, of course, may be the result of many individual galactic explosions) have E = 10^62.5^10^63^ and have a number density defined so that the overall conversion of matter to energy has an efficiency of order 10^6^. A statistic f(π) is found, which measures the distance distribution from uniformly distributed points to the nearest galaxies on the projected plane. It seems to provide a good measure of the bubbly character of the galaxy distribution. If the apparent structure is real, then we find that it should be shown much more clearly as the magnitude limit is reduced to + 16.5. In a quantitative analysis of the CfA "slice of the universe," we find that a very good match between simulation and the real data is produced for final average bubble radii <R> = (13.5 +/ 1.5)h^1^ Mpc with formal filling factor 1.01.5 or an actual filling factor of 65%80%. This determination is geometrical and thus independent of any hypothesis (e.g., explosions) for the origins of the apparent bubblelike structure.
 Publication:

The Astrophysical Journal
 Pub Date:
 March 1989
 DOI:
 10.1086/167220
 Bibcode:
 1989ApJ...338..579O
 Keywords:

 Cosmology;
 Galactic Clusters;
 Matter (Physics);
 Universe;
 Correlation;
 Distribution (Property);
 Many Body Problem;
 Astrophysics;
 COSMOLOGY;
 EARLY UNIVERSE;
 GALAXIES: CLUSTERING