Gravitational Angular Fluctuations of the Cosmic Background Radiation Produced by Cosmological Linear Perturbations

摘要

The gravitational angular fluctuations of light rays produced by linear density perturbations are investigated in the Einstein-de Sitter model. It is shown that, owing to the random-walk process aroused by the perturbations, the mean square of relative angular fluctuations of two neighboring light rays increase as they propagate. If the density contrast is larger than 3 x 10/sup -3/ for the present size 30 Mpc, the angular fluctuations for the angle difference of several minutes are so large to play a role to decrease the small-scale anisotropy of the cosmic background radiation during the propagation from the decoupling epoch to the present. They may give us also a reason to the question why few quasars can be found for z > 4. (ERA citation 14:023307)