Gravitational Lens Effect on the Cosmic Background Radiation\Due to Nonlinear Inhomogeneities

Details Gravitational Lens Effect on the Cosmic Background Radiation\Due to Nonlinear Inhomogeneities Gravitational Lens Effect on the Cosmic Background Radiation\Due to Nonlinear Inhomogeneities

Sep 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989pthph..82..563t&link_type=abstract

Progress of Theoretical Physics, Vol. 82, No. 3, pp. 563-580

Physics

34

Scientific paper

Null geodesic equations are numerically solved, in order to investigate the light propagation ininhomogeneous cosmological models. The models are derived using the N body simulation methodand assuming for simplicity that clusters of galaxies are regarded as particles. Statistical propertiesof angular fluctuations of light paths and angular correlation functions of the cosmic backgroundradiation are studied. It is shown that the angular fluctuations due to gravitational lensing dependmuch on the average particle size r and the correlation angle thetac of the intrinsic density perturbationsat the recombination epoch. If r is equal to or smaller than the size of the Coma cluster and thetac<= 5arcmin, the lens effect may play a role to decrease the finite-beam-smeared temperature fluctuationsof the cosmic background radiation by about 20%, compared with those in the no-lens case, while thenon-smeared temperature fluctuations are enhanced for angeles <=8 arcmin. If r is larger than theabove size and thetac is equal to about 8 arcmin consistent with the most prevailing cosmological models,however, the lens effect is very small. Moreover it is shown that the dispersion of the fluctuationsin different directions is not small, so that the fluctuations may be considerable in a special deirection,and that the dependence of the fluctuations on the spatial correlation of particles is small.

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