Multiplane gravitational lensing. II. Global geometry of caustics

DOI10.1063/1.530962zbMath0854.57028OpenAlexW2048916880MaRDI QIDQ4873278

Arlie O. Petters

Publication date: 16 April 1996

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

Full work available at URL: https://doi.org/10.1063/1.530962

zbMATH Keywords

Morse theoryrotation numberscausticslight pathgravitational lens system

Mathematics Subject Classification ID

General relativity (83C99) Differential topology (57R99)

Related Items

Bounds on number of cusps due to point mass gravitational lenses, Wavefronts, caustic sheets, and caustic surfing in gravitational lensing, Gauss-Bonnet theorem in the universal covering group of Euclidean motion group \(E(2)\) with the general left-invariant metric, Multiplane gravitational lensing. III. Upper bound on number of images, Unnamed Item, The sub-Riemannian limit of curvatures for curves and surfaces and a Gauss-Bonnet theorem in the rototranslation group, Signs of the cusps in binary lenses, Curvature of caustics and singularities of gravitational lenses, A mathematical theory of stochastic microlensing. II. Random images, shear, and the Kac–Rice formula, A Morse theory for massive particles and photons in general relativity, Line-of-sight effects in strong lensing: putting theory into practice

Cites Work

• Singularities of the one- and two-point mass gravitational lens
• Applications of singularity theory to gravitational lensing. I. Multiple lens planes
• Mappings of Manifolds into the Plane
• Global theorems for closed plane curves