
doi: 10.1063/1.530045
Caustics in gravitational lensing are formulated from a symplectic geometric viewpoint. Arnold’s singularity theory is then used to give a rigorous local classification of generic gravitational lensing caustics and their evolutions. A local classification is also presented of generic image surfaces, time-delay image surfaces, big caustics, and bicaustics. The results of each classification are discussed and graphically illustrated.
Arnold theory, symplectic geometry, Lagrangian singularities, gravitational lensing, light rays, caustics, Applications of dynamical systems, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, General questions in astronomy and astrophysics, Relativistic cosmology
Arnold theory, symplectic geometry, Lagrangian singularities, gravitational lensing, light rays, caustics, Applications of dynamical systems, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, General questions in astronomy and astrophysics, Relativistic cosmology
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