Nonexpanding impulsive gravitational waves with an arbitrary cosmological constant

Details Nonexpanding impulsive gravitational waves with an arbitrary cosmological constant Nonexpanding impulsive gravitational waves with an arbitrary cosmological constant

1999-08-02

arxiv.org/abs/gr-qc/9908008v1

Phys.Lett. A261 (1999) 1-4

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, LaTeX. To appear in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(99)00524-1

Exact solutions for nonexpanding impulsive waves in a background with nonzero cosmological constant are constructed using a `cut and paste' method. These solutions are presented using a unified approach which covers the cases of de Sitter, anti-de Sitter and Minkowski backgrounds. The metrics are presented in continuous and distributional forms, both of which are conformal to the corresponding metrics for impulsive pp-waves, and for which the limit as $\Lambda\to 0$ can be made explicitly.

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