Gravitational lensing effect on the fluctuations of the cosmic background radiation

Statistics – Computation

Scientific paper

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Background Radiation, Cosmic Rays, Cosmology, Galactic Evolution, Gravitational Lenses, Red Shift, Computational Astrophysics, Frequency Shift, Galactic Mass, Mass Distribution, Relativistic Theory

Scientific paper

The possible consequences of randomly distributed deflectors on an initially nonuniform background are investigated. Starting with the conservation of the specific intensity, a general expression giving the power spectra of the perturbed background is found. The variance of the fluctuating part of the background is conserved by any arbitrary physical deviation field. Using a model of the gravitational deviation field developed by Blandford and Jaroszynski (1981), this result is applied to the cosmic background radiation. The angular fluctuations law could be modified at small angular scales. It appears that the strength of this effect depends strongly on the total mass present in a clumpy form and on the evolution of the correlation function at small scales. The amplitude of the distortion of the fluctuations law is expected to be small, but could be identified by its angular scaling. This provides a potential tool to get direct information on galaxy formation in the nonlinear regime.

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