Image distortion from optical scalars in non perturbative gravitational lensing

Abstract

In a previous article concerning image distortion in non-perturbative gravitational lensing theory we described how to introduce shape and distortion parameters for small sources. We also showed how they could be expressed in terms of the scalar products of the geodesic deviation vectors of the source's pencil of rays in the past lightcone of an observer. In the present work we give an alternative approach to the description of the shape and distortion parameters and their evolution along the null geodesic from the source to the observer, but now in terms of the optical scalars (the convergence and shear of null vector field of the observer's lightcone) and the associated optical equations, which relate the optical scalars to the curvature of the spacetime.

17 pages, 3 figures, to appear in Phys. Rev. D (January 2001)

References in corpus (2)

• Spacetime perspective of Schwarzschild lensing
• Image distortion in non perturbative gravitational lensing

Cited by in corpus (17)

• Gravitational lensing in dispersive media and deflection angle of charged massive particles in terms of curvature scalars and energy-momentum tensor
• Gravitational lens optical scalars in terms of energy-momentum distributions
• Lensing in the Geodesic Light-Cone coordinates and its (exact) illustration to an off-center observer in Lemaître-Tolman-Bondi models
• Expressions for optical scalars and deflection angle at second order in terms of curvature scalars
• Image distortion in non perturbative gravitational lensing
• Gravitational lens optical scalars in terms of energy-momentum distributions in the cosmological framework
• Study of errors in strong gravitational lensing
• Poisson equation for weak gravitational lensing
• The Bianchi identity and weak gravitational lensing
• Gravitational Lensing from a Spacetime Perspective
• Schwarzschild Lensing From Geodesic Deviation
• Classification of image distortions in terms of Petrov types
• Explicit expressions for optical scalars in gravitational lensing from general matter sources
• Continuous image distortion by astrophysical thick lenses
• Magnification of Classical Multimessenger Signals in Stationary and Axisymmetric Spacetimes with Separable Equations of Motion
• Gaussian beams and caustic avoidance in gravitational optics
• The Hyperbolic Bloch Equations of General Relativity