Gravitational lens effect of wall-like objects and its cosmological implications

Mathematics – Logic

Scientific paper

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Astronomical Models, Background Radiation, Black Body Radiation, Cosmology, Gravitational Lenses, Universe, Wave Propagation, Anisotropy, Convexity, Deflection, Dust, Galactic Clusters, Homogeneity

Scientific paper

First the gravitational deflection angle of light rays passing through a disk consisting of pressureless matter was derived, and it was shown that it behaves like a convex lens. Next the two-ray difference of deflection angles was derived by help of the Raychaudhuri equation, in the cases when the wall-like objects are dust walls and domain-walls. Moreover, the two-ray difference of deflection angles was derived in a low mass-density regions lying between wall-like objects. This region plays a role of a concave lens, but it is shown that its effect is minor, compared with the effect of wall-like objects. On the basis of these deflection angle differences, the gravitational lens effect of uniform wall-like objects which may exist homogeneously on the cosmological scale was considered and it was shown that, in the case when the wall-like objects appear at the epoch of z = 5, the measured angles of the cosmic background radiation may be increased about 3 to 2 times owing to the integrated convex lens effect and so its measured anisotropy may be smaller by a factor of about 10 to 6 than the intrinsic one.

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