The statistical clustering of primordial black holes.
Abstract
It is shown that Meszaros' (1975) theory of galaxy formation, in which galaxies form from density perturbations associated with the statistical fluctuation in the number density of primordial black holes, must be modified if the black holes are initially surrounded by regions of lower radiation density than average (as is most likely). However, even in this situation, the sort of effect Meszaros envisages does occur and could in principle cause galactic mass scales to bind at the conventional time. In fact, the requirement that galaxies should not form prematurely implies that black holes could not have a critical density in the mass range above 100,000 solar masses. If the mass spectrum of primordial black holes falls off more slowly than the inverse cube of mass, (as expected), the biggest black holes have the largest clustering effect. In this case, the blackhole clustering theory of galaxy formation reduces to the blackhole seed theory of galaxy formation, in which each galaxy becomes bound under the gravitational influence of a single blackhole nucleus.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 April 1977
 Bibcode:
 1977A&A....56..377C
 Keywords:

 Black Holes (Astronomy);
 Cosmology;
 Density (Number/Volume);
 Galactic Evolution;
 Statistical Distributions;
 Astrodynamics;
 Fluctuation Theory;
 Galactic Mass;
 Gravitational Effects;
 Mass Spectra;
 Perturbation Theory;
 Astrophysics