An interpretation of Robinson-Trautman type N solutions

Details An interpretation of Robinson-Trautman type N solutions An interpretation of Robinson-Trautman type N solutions

2002-08-08

arxiv.org/abs/gr-qc/0208022v1

Class.Quant.Grav. 19 (2002) 4649-4662

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 3 figures. To appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/19/18/302

The Robinson-Trautman type N solutions, which describe expanding gravitational waves, are investigated for all possible values of the cosmological constant Lambda and the curvature parameter epsilon. The wave surfaces are always (hemi-)spherical, with successive surfaces displaced in a way which depends on epsilon. Explicit sandwich waves of this class are studied in Minkowski, de Sitter or anti-de Sitter backgrounds. A particular family of such solutions which can be used to represent snapping or decaying cosmic strings is considered in detail, and its singularity and global structure is presented.

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