Nonexpanding impulsive gravitational waves with an arbitrary cosmological constant

Abstract

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.

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

Cited by in corpus (24)

• Exploring AdS Waves Via Nonminimal Coupling
• Exact Gravitational Shockwaves and Planckian Scattering on Branes
• Critical Formation of Trapped Surfaces in the Collision of Non-expanding Gravitational Shock Waves in de Sitter Space-Time
• Exact impulsive gravitational waves in spacetimes of constant curvature
• Impulsive waves in ghost free infinite derivative gravity in anti-de Sitter spacetime
• Symmetries and geodesics in (anti-)de Sitter spacetimes with nonexpanding impulsive waves
• Holographic estimation of multiplicity and membranes collision in modified spaces ${AdS}_5$
• Memory Effect and BMS-like Symmetries for Impulsive Gravitational Waves
• The global existence, uniqueness and C^1-regularity of geodesics in nonexpanding impulsive gravitational waves
• Memory effect and BMS symmetries for extreme black holes
• Exact non-singular waves in the anti-de Sitter universe
• Geodesics in nonexpanding impulsive gravitational waves with $\Lambda$, Part I
• The regularity of geodesics in impulsive pp-waves
• Cut-and-paste for impulsive gravitational waves with $\Lambda$: The geometric picture
• Soldering freedom and BMS-like transformations
• Catalysis of Black Holes/Wormholes Formation in High Energy Collisions
• Null shells: general matching across null boundaries and connection with cut-and-paste formalism
• Penrose junction conditions with $\Lambda$: Geometric insights into low-regularity metrics for impulsive gravitational waves
• Penrose junction conditions extended: impulsive waves with gyratons
• General matching across Killing horizons of zero order
• Geodesics in nonexpanding impulsive gravitational waves with $\Lambda$, II
• Gravitational wave solutions of quadratic curvature gravity using a null coframe formulation
• Cut-and-paste for impulsive gravitational waves with $\Lambda$: The mathematical analysis
• Impulsive gravitational waves in general massive 3D gravity