Magnification relations in gravitational lensing via multidimensional residue integrals

DOI10.1063/1.1347394zbMath1009.83008arXivastro-ph/0009002OpenAlexW3105091238MaRDI QIDQ2774865

Jeffrey M. Rabin, Neal Dalal

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/astro-ph/0009002

zbMATH Keywords

Morse theorydifferential geometrygravitational lensingmultidimensional residue integrals

Mathematics Subject Classification ID

Equations of motion in general relativity and gravitational theory (83C10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (8)

A Lefschetz fixed point theorem in gravitational lensing ⋮ Mathematics of gravitational lensing: Multiple imaging and magnification ⋮ Sharp parameter bounds for certain maximal point lenses ⋮ A universal magnification theorem. II. Generic caustics up to codimension five ⋮ Geometry of universal magnification invariants ⋮ A universal magnification theorem for higher-order caustic singularities ⋮ A universal magnification theorem. III. Caustics beyond codimension 5 ⋮ Orbifolds, the A, D, E family of caustic singularities, and gravitational lensing

Cites Work

• Lower bounds on image magnification in gravitational lensing
• Arnold’s singularity theory and gravitational lensing
• Applications of singularity theory to gravitational lensing. I. Multiple lens planes

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