The statistics of primordial density fluctuations

Details The statistics of primordial density fluctuations The statistics of primordial density fluctuations

May 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.244..188b&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 244, May 1, 1990, p. 188-192.

Statistics

Computation

32

Computational Astrophysics, Density Distribution, Galactic Clusters, Universe, Astronomical Models, Hubble Constant, Power Spectra, Statistical Distributions

Scientific paper

The statistical properties of the density fluctuations produced by power-law inflation are investigated. It is found that, even the fluctuations present in the scalar field driving the inflation are Gaussian, the resulting density perturbations need not be, due to stochastic variations in the Hubble parameter. All the moments of the density fluctuations are calculated, and is is argued that, for realistic parameter choices, the departures from Gaussian statistics are small and would have a negligible effect on the large-scale structure produced in the model. On the other hand, the model predicts a power spectrum with n not equal to 1, and this could be good news for large-scale structure.

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