The Goldberg-Sachs theorem in linearized gravity

Details The Goldberg-Sachs theorem in linearized gravity The Goldberg-Sachs theorem in linearized gravity

2002-03-15

arxiv.org/abs/gr-qc/0203057v1

J.Math.Phys. 41 (2000) 6296-6299

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, no figures, LaTeX 2e

Scientific paper

10.1063/1.1288249

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.

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