Nonexpanding impulsive gravitational waves with an arbitrary cosmological constant

✍ Scribed by J. Podolský; J.B. Griffiths

• Book ID: 104337694
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 55 KB
• Volume: 261
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00524-1

✦ Synopsis

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 L ™ 0 can be made explicitly.