Non-expanding impulsive gravitational waves

Abstract

We investigate a class of impulsive gravitational waves which propagate either in Minkowski or in the (anti-)de Sitter background. These waves are constructed as impulsive members of the Kundt class $P(\Lambda )$ of non-twisting, non-expanding type N solutions of vacuum Einstein equations with a cosmological constant $\Lambda$. We show that the only non-trivial waves of this type in Minkowski spacetime are impulsive pp-waves. For $\Lambda \ne 0$ we demonstrate that the canonical subclasses of $P(\Lambda )$, which are invariantly different for smooth profiles, are all locally equivalent for impulsive profiles. Also, we present coordinate system for these impulsive solutions which is explicitly continuous.

12 pages, to appear in Class. Quantum Grav

References in corpus (3)

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• Impulsive waves in de Sitter and anti-de Sitter space-times generated by null particles with an arbitrary multipole structure
• Continuous coordinates for all impulsive pp - waves

Cited by in corpus (24)

• Gravitational waves in vacuum spacetimes with cosmological constant. I. Classification and geometrical properties of non-twisting type N solutions
• Relativistic gyratons in asymptotically AdS spacetime
• Nonexpanding impulsive gravitational waves with an arbitrary cosmological constant
• Gyratonic pp-waves and their impulsive limit
• Expanding impulsive gravitational waves
• Impulsive waves in the Nariai universe
• Exact impulsive gravitational waves in spacetimes of constant curvature
• Symmetries and geodesics in (anti-)de Sitter spacetimes with nonexpanding impulsive waves
• Ultrarelativistic black hole in an external electromagnetic field and gravitational waves in the Melvin universe
• The global existence, uniqueness and C^1-regularity of geodesics in nonexpanding impulsive gravitational waves
• Geodesic motion in the Kundt spacetimes and the character of envelope singularity
• Geodesics in nonexpanding impulsive gravitational waves with $\Lambda$, Part I
• Exact non-singular waves in the anti-de Sitter universe
• Cut-and-paste for impulsive gravitational waves with $\Lambda$: The geometric picture
• Kundt wave geometries in Eddington-inspired Born-Infeld gravity: New solutions and memory effects
• Interpreting a conformally flat pure radiation space-time
• Penrose junction conditions extended: impulsive waves with gyratons
• Dual Metrics and Non-Generic Supersymmetries for a Class of Siklos Spacetimes
• Penrose junction conditions with $\Lambda$: Geometric insights into low-regularity metrics for impulsive gravitational waves
• Gravitational wave solutions in string and M-theory AdS Backgrounds
• Dual Metrics for a Class of Radiative Spacetimes
• Geodesics in nonexpanding impulsive gravitational waves with $\Lambda$, II
• Gravitational Waves in String theory in Anti-de Sitter Background
• Cut-and-paste for impulsive gravitational waves with $\Lambda$: The mathematical analysis