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Gravitational lensing potential reconstruction in quadruply imaged systems

2001/05/31 by V. F. Cardone, S. Capozziello, Salvatore Capozzıello +2 · 2 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Pulsars and Gravitational Waves Research #astro-ph

paper · pdf · doi:10.1051/0004-6361:20011225

10 pages, accepted for publication on Astronomy & Astrophysics. Some minor revisions and new results from the application of the method to PG1115+080

openalex publication_date 2001/11/01 · arxiv created 2001/11/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

We develop a semi-analytical method to reconstruct the lensing potential in quadruply imaged gravitational lens systems. Assuming that the potential belongs to a broad class of boxy non-elliptical models, we show how it is possible to write down a system of equations which can be numerically solved to recover the potential parameters directly from image positions and using physical constraints. We also describe a code developed to search for solutions of the system previously found and test it on simulated cases. Finally, we apply the method to the quadruple lens PG 1115+080 which allows us to get also an estimate of the Hubble constant H0 from the measured time delay as .

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