Help Privacy Policy Disclaimer
  Advanced SearchBrowse




Journal Article

Classification of image distortions in terms of Petrov types


Perlick,  Volker
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

(Preprint), 297KB

Supplementary Material (public)
There is no public supplementary material available

Chrobok, T., & Perlick, V. (2001). Classification of image distortions in terms of Petrov types. Classical and Quantum Gravity, 18(15), 3059-3079.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-558E-A
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.