Steps toward the power spectrum of matter. III. The primordial spectrum

Abstract

Observed power spectrum of matter found in Papers I and II is compared with analytical power spectra. Spatially flat cold and mixed dark matter models with cosmological constant and open models are considered. The primordial power spectrum of matter is determined using the power spectrum of matter and the transfer functions of analytical models. The primordial power spectrum has a break in amplitude. We conclude that a scale-free primordial power spectrum is excluded if presently available data on the distribution of clusters and galaxies represent the true mass distribution of the Universe.

arXiv commentLaTex (sty files added), 22 pages, 5 PostScript figures embedded, Astrophysical Journal (accepted)

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Cited by in corpus (10)

• A Local Void and the Accelerating Universe
• Separating the Early Universe from the Late Universe: cosmological parameter estimation beyond the black box
• The Atacama Cosmology Telescope: a measurement of the primordial power spectrum
• Prospects for direct detection of primordial gravitational waves
• On the APM power spectrum and the CMB anisotropy: Evidence for a phase transition during inflation?
• The Power Spectrum of Rich Clusters on Near Gigaparsec Scales
• Steps toward the power spectrum of matter. II. The biasing correction with sigma_8 normalization
• Steps toward the power spectrum of matter. I.The mean spectrum of galaxies
• The WiggleZ Dark Energy Survey: Probing the Epoch of Radiation Domination using Large Scale Structure
• Observational Matter Power Spectrum and the Height of the Second Acoustic Peak