Gravitational Lens Effect of Wall-Like Objects and Its Cosmological Implications : AStrophysics and Relativity

概要

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First we derive the gravitational deflection angle of light rays passing through a disk consisting of pressureless matter, and show that it behaves like a convex lens. Next we derive the two-ray difference of deflection angles by help of the Raychaudhuri equation, in the cases when the wall-like objects are dust walls and domain-walls. Moreover we derive the two-ray difference of deflection angles in a low mass-density region lying between wall-like objects. It is shown that this region plays a role of a concave lens and its effect is comparable with the effects of wall-like objects. On the basis of these deflection angle differences, we consider the gravitational lens effect of uniform wall-like objects which may exist homogeneously on the cosmological scale. Under the condition that rays pass always through the inner regions of wall-like objects, we show that the convex lens effect is dominant and, in a case when the wall-like objects appear at the epoch of z=5, the measured angles of the cosmic background radiation may increase about 2.0 and 1.1 times owing to the integrated convex lens effect for dust walls and domain-walls, respectively. If the above condition is not satisfied, gravitational lens effect due to wall-like objects is negligibly small.
理論物理学刊行会の論文
1991-01-25