Classification of image distortions in terms of Petrov types

Details Classification of image distortions in terms of Petrov types Classification of image distortions in terms of Petrov types

2000-12-21

arxiv.org/abs/gr-qc/0012088v2

Class.Quant.Grav. 18 (2001) 3059

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 8 eps-figures; revised version, parts of Introduction and Conclusions rewritten

Scientific paper

10.1088/0264-9381/18/15/318

An observer surrounded by sufficiently small spherical light sources at a fixed distance will see a pattern of elliptical images distributed over the sky, owing to the distortion effect (shearing effect) of the spacetime geometry upon light bundles. In lowest non-trivial order with respect to the distance, this pattern is completely determined by the conformal curvature tensor (Weyl tensor) at the observation event. In this paper we derive formulas that allow to calculate these distortion patterns in terms of the Newman-Penrose formalism. Then we represent the distortion patterns graphically for all Petrov types, and we discuss their dependence on the velocity of the observer.

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