Continuous Limit of Multiple Gravitational Lens Effect and Average Magnification Factor

dc.creatorYoshida, Hiroshi
dc.creatorNakamura, Kouji
dc.creatorOmote, Minoru
dc.date2003-04-01
dc.date2003-04-08
dc.date.accessioned2026-07-07T02:08:09Z
dc.date.available2026-07-07T02:08:09Z
dc.descriptionWe 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 $\to\infty$) and that the gravitationally magnified Dyer-Roeder distance in a clumpy universe becomes to that of the Friedmann-Lema\^ıtre universe for arbitrary values of the density parameter $Ω_{0}$ and of a mass fraction $\barα$ (smoothness parameter).
dc.description13 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/astro-ph/0304012
dc.identifierhttp://arxiv.org/abs/astro-ph/0304012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/5929
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleContinuous Limit of Multiple Gravitational Lens Effect and Average Magnification Factor
dc.typetext

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