Cosmic Microwave Background Anisotropies from the Rees-Sciama Effect in Omega 0 <=1 Universes

We investigate the imprint of nonlinear matter condensations on the cosmic microwave background (CMB) in Ω0 -1 Mpc to 360 h-1 Mpc in size. We concentrate on the secondary temperature anisotropies induced by time varying gravitational potentials occurring after decoupling. Specifically, we investigate the importance of the Rees-Sciama effect due to: (1) intrinsic changes in the gravitational potential of forming, nonlinear structures; (2) proper motion of nonlinear structures; and (3) late-time decay of gravitational potential perturbations in open universes. CMB temperature anisotropies are obtained by numerically evolving matter inhomogeneities and CMB photons from an early, linear epoch (z = 100) to the present, nonlinear epoch (z = 0). We test the dependence and relative importance of these secondary temperature anisotropies as a function of the scale of the underlying matter (voids, superclusters) and as a function of Ω0. The results of the Ω0 -6. We also find that, for Ω0 < 1, at large scales the secondary temperature anisotropies are dominated by the decaying potential.