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Strong lensing in the Einstein–Straus solution
Authors:Thomas Schücker
Institution:(1) Université de Provence, Marseille, France;(2) Centre de Physique Théorique, CNRS-Luminy, Case 907, 13288 Marseille Cedex 9, France;(3) Laboratoire affilié à la FRUMAM (FR 2291), Unité Mixte de Recherche (UMR 6207) du CNRS et des Universités Aix–Marseille 1 et 2 et Sud Toulon-Var, Marseille, France
Abstract:We analyse strong lensing in the Einstein–Straus solution with positive cosmological constant. Our result confirms Rindler and Ishak’s finding that a positive cosmological constant decreases the bending of light by an isolated spherical mass. In agreement with an analysis by Ishak et al., this decrease is found to be attenuated by a homogeneous mass distribution added around the spherical mass and by a recession of the observer. For concreteness we compare the theory to the light deflection of the lensed quasar SDSS J1004+4112. To the memory of Jürgen Ehlers.
Keywords:Cosmological parameters  Lensing
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