SmallScale Perturbations in a General Mixed Dark Matter Cosmology
Abstract
For a universe with massive neutrinos, cold dark matter, and baryons, we solve the linear perturbation equations analytically in the smallscale limit and find agreement with numerical codes at the 1%2% level. The inclusion of baryons, a cosmological constant, or spatial curvature reduces the smallscale power and tightens limits on the neutrino density from observations of highredshift objects. Using the asymptotic solution, we investigate neutrino infall into potential wells and show that it can be described on all scales by a growth function that depends on time, wavenumber, and cosmological parameters. The growth function may be used to scale the presentday transfer functions back in redshift. This allows us to construct the timedependent transfer function for each species from a single master function that is independent of time, cosmological constant, and curvature.
 Publication:

The Astrophysical Journal
 Pub Date:
 May 1998
 DOI:
 10.1086/305585
 arXiv:
 arXiv:astroph/9710216
 Bibcode:
 1998ApJ...498..497H
 Keywords:

 COSMOLOGY: THEORY;
 COSMOLOGY: DARK MATTER;
 COSMOLOGY: LARGESCALE STRUCTURE OF UNIVERSE;
 Cosmology: Theory;
 Cosmology: Dark Matter;
 Cosmology: LargeScale Structure of Universe;
 Astrophysics
 EPrint:
 Submitted to ApJ