Multiplane gravitational lensing. III. Upper bound on number of images

DOI10.1063/1.531818zbMath0876.57047OpenAlexW2016731298MaRDI QIDQ4339575

Arlie O. Petters

Publication date: 26 November 1997

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

Full work available at URL: https://doi.org/10.1063/1.531818

zbMATH Keywords

gravitational lensinggeometry of causticslensed images

Mathematics Subject Classification ID

General relativity (83C99) Singularities of differentiable mappings in differential topology (57R45) Critical points and critical submanifolds in differential topology (57R70) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items

Multiplane gravitational lenses with an abundance of images ⋮ Mathematics of gravitational lensing: Multiple imaging and magnification ⋮ An upper bound for the number of gravitationally lensed images in a multiplane point-mass ensemble ⋮ A mathematical theory of stochastic microlensing. II. Random images, shear, and the Kac–Rice formula ⋮ Fixed points due to gravitational lenses

Cites Work

• Applications of singularity theory to gravitational lensing. I. Multiple lens planes
• Multiplane gravitational lensing. I. Morse theory and image counting
• Multiplane gravitational lensing. II. Global geometry of caustics
• Bounds on number of cusps due to point mass gravitational lenses
• Lens-Like Action of a Star by the Deviation of Light in the Gravitational Field

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