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28 March 2024
 
  » arxiv » gr-qc/9907048

 Article overview


Gravitational waves in vacuum spacetimes with cosmological constant. I. Classification and geometrical properties of non-twisting type N solutions
J. Bicak ; J. Podolsky ;
Date 13 Jul 1999
Journal J.Math.Phys. 40 (1999) 4495-4505
Subject gr-qc
AbstractAll 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.
Source arXiv, gr-qc/9907048
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