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Influence of the cosmological constant on gravitational lensing in small systems

2007/11/30 by M. Sereno · 7 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #astro-ph #gr-qc

paper · pdf · doi:10.1103/physrevd.77.043004

published as Phys.Rev.D77:043004,2008 · 8 pages, 1 figure; v2: extended discussion on the lens equation, references added, results unchanged, in press on PRD

arxiv created 2008/01/16 · openalex publication_date 2008/02/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The cosmological constant \ensuremathΛ affects gravitational lensing phenomena. The contribution of \ensuremathΛ to the observable angular positions of multiple images and to their amplification and time delay is here computed through a study of the weak deflection limit of the equations of motion in the Schwarzschild--de Sitter metric. Because of \ensuremathΛ the unresolved images are slightly demagnified, the radius of the Einstein ring decreases, and the time delay increases. The effect is however negligible for near lenses. In the case of a null cosmological constant, we provide some updated results on lensing by a Schwarzschild black hole.

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