Primeval adiabatic perturbations  Constraints from the mass distribution
Abstract
Assuming linear primeval adiabatic perturbations, the autocorrelation function of the mass distribution after decoupling of matter and radiation is computed by means of a new numerical method and the results are compared to what is inferred from the present galaxy distribution. The FriedmannLemaitre model computation, containing radiation, zeromass neutrinos, hydrogen and helium, take the primeval power spectrum of density fluctuations to approximate a ktothenu power law. It is shown that if nu is less than two, the coherence length of the residual mass distribution is too large, and that when the amplitude is adjusted to make the first generation of objects form at zeta values lower than two, there are unacceptably large fluctuations in the mass distributions that are put on scales between 12 and 40 Mpc.
 Publication:

The Astrophysical Journal
 Pub Date:
 September 1981
 DOI:
 10.1086/159219
 Bibcode:
 1981ApJ...248..885P
 Keywords:

 Adiabatic Conditions;
 Big Bang Cosmology;
 Galactic Evolution;
 Mass Distribution;
 Perturbation Theory;
 Astronomical Models;
 Autocorrelation;
 Linear Equations;
 Power Spectra;
 Astrophysics