A pr 2 00 3 Continuous Limit of Multiple Gravitational Lens Effect and Average Magnification Factor
نویسندگان
چکیده
We show that the gravitational magnification factor averaged over all configurations of lenses in a locally inhomogeneous universe satisfy a second order differential equation with redshift z by taking the continuous limit of multi-plane gravitational lens equation (the number NL of lenses → ∞) and that the gravitationally magnified Dyer-Roeder distance in a clumpy universe becomes to that of the Friedmann-Lemâıtre universe for arbitrary values of the density parameter Ω0 and of a mass fraction ᾱ (smoothness parameter).
منابع مشابه
Continuous Limit of Multiple Gravitational Lens Effect and Averaged Magnification Factor
We show that the gravitational magnification factor averaged over all configurations of lenses in a locally inhomogeneous universe satisfy a second order differential equation with redshift z by taking the continuous limit of multi-plane gravitational lens equation (the number N of lenses → ∞) and that the gravitationally magnified Dyer-Roeder distance in a clumpy universe becomes to that of th...
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