The power spectrum of galaxy clustering

Statistics – Computation

Scientific paper

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Computational Astrophysics, Galactic Clusters, Power Spectra, Astronomical Models, Dark Matter, Red Shift, Relic Radiation, Spectral Correlation

Scientific paper

There now exist several data sets with the depth necessary to determine the power spectrum of galaxy clustering on scales greater than approximately 100 Mpc. Results from redshift surveys and angular clustering all agree on the form of the function, which shows a break toward greater uniformity at very large wavelengths, consistent with scale-invariant primordial fluctuations. The amplitude of these large-wavelength fluctuations implies that the Cold Dark Matter model should use a higher normalization; an increase by a factor 3 is allowed by present microwave-background limits. Such a revised amplitude predicts too much small-scale power in linear theory, but this discrepancy is on a scale where astrophysical effects are expected to alter the shape of the power spectrum. Nevertheless, if a better match between data and linear theory is desired, models containing global texture perform extremely well.

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