The Effect of Time-Varying Density Fields on Cosmic Microwave Background radiation: A New Formulation.

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

This paper explores a new formulation of the Sachs-Wolfe Effect by utilizing a Green's function solution to the density perturbation-gravitational potential relation. This solution allows the determination of expected anisotropies in the cosmic background radiation due to observed density distributions and simple theoretical density distributions. It uses the distribution in real space; this contrasts with more traditional methods of examining the density distribution in Fourier space. The results of this general relativistic formulation for photon propagation are numerically compared to those of a quasi-Newtonian potential. These results are applied to the propagation of cosmic background radiation. We consider the effects of an intervening point mass, an accreting point mass, and a static spherical mass distribution. Results indicate significant differences from the simple Newtonian treatment.

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