1997/10/21 by Wayne Hu, Daniel J. Eisenstein · 82 citations
Physics and Astronomy · #Cold dark matter #Cosmology #Cosmology and Gravitation Theories #Curvature #Dark Matter and Cosmic Phenomena #Dark energy #Dark matter #Galaxies: Formation, Evolution, Phenomena #Neutrino #Perturbation (astronomy) #Redshift #Universe #astro-ph
paper · pdf · doi:10.1086/305585
published in The Astrophysical Journal 498(2), 497-503 (IOP Publishing) · Submitted to ApJ; 13 pages, aastex, 4 figures included; also available at http://www.sns.ias.edu/~whu
arxiv created 1997/10/21 · openalex publication_date 1998/05/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
For a universe with massive neutrinos, cold dark matter, and baryons, we solve the linear perturbation equations analytically in the small-scale limit and find agreement with numerical codes at the 1-2% level. The inclusion of baryons, a cosmological constant, or spatial curvature reduces the small-scale power and tightens limits on the neutrino density from observations of high redshift 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 present-day transfer functions back in redshift. This allows us to construct the time-dependent transfer function for each species from a single master function that is independent of time, cosmological constant, and curvature.