Expanding impulsive gravitational waves

Details Expanding impulsive gravitational waves Expanding impulsive gravitational waves

1999-07-06

arxiv.org/abs/gr-qc/9907022v1

Class.Quant.Grav. 16 (1999) 2937-2946

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, LaTeX, To appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/16/9/311

We explicitly demonstrate that the known solutions for expanding impulsive spherical gravitational waves that have been obtained by a "cut and paste" method may be considered to be impulsive limits of the Robinson-Trautman vacuum type N solutions. We extend these results to all the generically distinct subclasses of these solutions in Minkowski, de Sitter and anti-de Sitter backgrounds. For these we express the solutions in terms of a continuous metric. Finally, we also extend the class of spherical shock gravitational waves to include a non-zero cosmological constant.

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