Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-10-03
Class.Quant.Grav. 20 (2003) 5241-5252
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
To appear in Class. Quantum Grav
Scientific paper
10.1088/0264-9381/20/24/001
The properties of principal null directions of a perturbed black hole are investigated. It shown that principal null directions are directly observable quantities characterizing the space-time. A definition of a perturbed space-time, generalizing that given by Stewart and Walker is proposed. This more general framework allows one to include descriptions of a given space-time other than by a pair $(M,g)$ where $M$ is a four-dimensional differential manifold and $g$ a Lorentz metric. Examples of alternative characterizations are the curvature representation of Karlhede and others, the Newman-Penrose representation or observable quantities involving principal null directions. The conditions are studied under which the various alternative choices of observables provide equivalent descriptions of the space-time.
Perj{é}s Zolt{á}n
Vasúth Mátyás
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