Small Scale Perturbations in a General MDM Cosmology

Details Small Scale Perturbations in a General MDM Cosmology Small Scale Perturbations in a General MDM Cosmology

1997-10-21

arxiv.org/abs/astro-ph/9710216v1

Astrophys.J. 498 (1998) 497

Astronomy and Astrophysics

Astrophysics

Submitted to ApJ; 13 pages, aastex, 4 figures included; also available at http://www.sns.ias.edu/~whu

Scientific paper

10.1086/305585

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.

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