Power Spectra for Cold Dark Matter and Its Variants

1997/10/23 by Daniel J. Eisenstein, Wayne Hu · 41 citations
Physics and Astronomy · #Astrophysics #Baryon #Cold dark matter #Cosmology #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Dark energy #Dark matter #Galaxies: Formation, Evolution, Phenomena #Hot dark matter #Hubble's law #Matter power spectrum #Neutrino #Particle physics #Physics #Spectral density #Warm dark matter #astro-ph

paper · pdf · doi:10.1086/306640

published as Astrophys.J. 511 (1997) 5 · 20 pages, LaTeX, 4 figures. Submitted to ApJ. Electronic versions of the fitting formula, as well as simple codes to output cosmological quantities (e.g. sigma_8) as a function of parameters and illustrative animations of parameter dependence, are available at http://www.sns.ias.edu/~whu/transfer/transfer.html

arxiv created 1997/10/23 · openalex publication_date 1999/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The bulk of recent cosmological research has focused on the adiabatic cold dark matter model and its simple extensions. Here we present an accurate fitting formula that describes the matter transfer functions of all common variants, including mixed dark matter models. The result is a function of wavenumber, time, and six cosmological parameters: the massive neutrino density, number of neutrino species degenerate in mass, baryon density, Hubble constant, cosmological constant, and spatial curvature. We show how observational constraints—e.g., the shape of the power spectrum, the abundance of clusters and damped Lyα systems, and the properties of the Lyα forest—can be extended to a wide range of cosmologies, which includes variations in the neutrino and baryon fractions in both high-density and low-density universes.

Citations

• Small‐Scale Perturbations in a General Mixed Dark Matter Cosmology
• Evolution of neutral gas at high redshift: implications for the epoch of galaxy formation
• Gravitational collapse of small-scale structure as the origin of the Lyman-alpha forest
• The Cosmic Microwave Background Spectrum from the FullCOBEFIRAS Data Set
• Recovery of the Power Spectrum of Mass Fluctuations from Observations of the Lyα Forest

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