Anisotropies in the microwave sky due to nonlinear structures

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Anisotropy, Astronomical Models, Background Radiation, Nonlinear Systems, Einstein Equations, Electromagnetic Radiation, Gravitational Fields, Gravitational Lenses, Red Shift

Scientific paper

The propagation of light in a nonstatic linear gravitational potential associated with nonlinear density fluctuations is studied. A potential approximation to Einstein's field equations makes it possible to derive simple expressions for the anisotropies induced in the temperature of the microwave background radiation, associated in particular with angular distortions induced by the time-varying gravitational potential along the line of sight to the surface of last scattering. These results are applied to two examples of interest: a compensated void in the thin-shell approximation and a compensated lump in the Swiss cheese approach, obtaining the same results, with regard to temperature profiles, as those obtained using a general-relativistic treatment.

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