Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-07-13
J.Math.Phys. 40 (1999) 4495-4505
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages, no figures, LaTeX, To appear in J. Math. Phys
Scientific paper
10.1063/1.532981
All non-twisting Petrov-type N solutions of vacuum Einstein field equations with cosmological constant Lambda are summarized. They are shown to belong either to the non-expanding Kundt class or to the expanding Robinson-Trautman class. Invariant subclasses of each class are defined and the corresponding metrics are given explicitly in suitable canonical coordinates. Relations between the subclasses and their geometrical properties are analyzed. In the subsequent paper these solutions are interpreted as exact gravitational waves propagating in de Sitter or anti-de Sitter spacetimes.
Bicak Jiri
Podolsky Jiri
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