Rees-Sciama Effect in a CDM Universe

Abstract

The Rees-Sciama (RS) effect produces fluctuations in the cosmic microwave background (CMB) through the time-dependent gravitational potential in the nonlinear stages of evolution. I investigate the RS effect on the CMB angular power spectrum $C_l$ for several CDM models by combining the results of N-body simulations with second order perturbation theory. The amplitude of the RS fluctuations peaks at $l\sim 100-300$, where it gives $\Delta T/T\sim 10^{-7}-10^{-6}$ for a wide range of models. This is at least an order of magnitude below the COBE normalized primary contribution. RS fluctuations could be a dominant source of anisotropies only on subarcminute scales ($l\approx 5000$) and are below the present day observational sensitivities on all angular scales.

16 pages, latex file using aastex package, including 5 figures, submitted to ApJ

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