Limited Approach to Ray Tracing through the Millennium Simulation: Tangential Shear and Its Peaks

Mathematics – Logic

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Gravitational Lensing

Scientific paper

We employ a hybrid method of modeling matter distribution in space based on the Millennium Simulation, using a coarse grid averaged matter density distribution with overlaid population of gravitationally bound halos. Using Born approximation we simulate the light propagation in such inhomogeneous cosmological model, obtaining shear maps for five ≍3°×3° fields at several redshifts. We analyze the influence of halos and background mass density on the tangential shear component. We show the presence of a weak signal at large separations caused by the large scale structure in matter distribution. We also investigate the relation between the shear peaks and the distribution of halo masses in their foregrounds, obtaining the dependence of mass spectra on the shear value. As other studies show, the top peaks of the shear are always related to the presence of very massive halos (galaxy clusters), but we find that their expected mass decreases with the increasing redshift of a map and with the increasing angular scale of its smoothing.

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