Small-scale fluctuations in the microwave background radiation and multiple gravitational lensing

Statistics – Computation

Scientific paper

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Background Radiation, Cosmology, Dark Matter, Galactic Evolution, Gravitational Lenses, Microwaves, Computational Astrophysics, Cosmic Rays, Galactic Clusters, Galactic Structure

Scientific paper

It is shown that multiple gravitational lensing of the microwave background radiation (MBR) by static compact objects significantly attenuates small-scale fluctuations in the MBR. Gravitational lensing, by altering trajectories of MBR photons reaching an observer, leads to (phase) mixing of photons from regions with different initial fluctuations. As a result of this diffusion process the original fluctuations are damped on scales up to several arcmin. An equation that describes this process and its general solution are given. It is concluded that the present upper limits on the amplitude of the MBR fluctuations on small scales cannot constrain theories of galaxy formation.

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