The Goldberg-Sachs theorem in linearized gravity
arXiv:gr-qc/0203057 · doi:10.1063/1.1288249
Abstract
The Goldberg-Sachs theorem has been very useful in constructing algebraically special exact solutions of Einstein vacuum equation. Most of the physical meaningful vacuum exact solutions are algebraically special. We show that the Goldberg-Sachs theorem is not true in linearized gravity. This is a remarkable result, which gives light on the understanding of the physical meaning of the linearized solutions.
6 pages, no figures, LaTeX 2e
Cited by in corpus (5)
- Shear free solutions in General Relativity Theory
- Duality and four-dimensional black holes: gravitational waves, algebraically special solutions, pole skipping, and the spectral duality relation in holographic thermal CFTs
- Two-dimensional twistor manifolds and Teukolsky operators
- Principal null directions of perturbed black holes
- On the Pursuit of Generalizations for the Petrov Classification and the Goldberg-Sachs Theorem