Refraction of geodesics by impulsive spherical gravitational waves in constant-curvature spacetimes with a cosmological constant

Abstract

We investigate motion of test particles in exact spacetimes with an expanding impulsive gravitational wave which propagates in Minkowski, de Sitter or anti-de Sitter universe. Using the continuous form of these metrics we derive explicit junction conditions and simple refraction formulae for null, timelike and spacelike geodesics crossing a general impulse of this type. In particular, we present a detailed geometrical description of the motion of test particles in a special class of axially symmetric spacetimes in which the impulse is generated by a snapped cosmic string.

arXiv comment17 pages, 16 figures. To appear in Phys. Rev. D

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• Expanding impulsive gravitational waves
• Symmetries and geodesics in (anti-)de Sitter spacetimes with nonexpanding impulsive waves
• Geodesics in spacetimes with expanding impulsive gravitational waves
• Null limits of the C-metric
• The collision and snapping of cosmic strings generating spherical impulsive gravitational waves
• An interpretation of Robinson-Trautman type N solutions
• Vacuum fluctuations for spherical gravitational impulsive waves
• Impulsive spherical gravitational waves
• A snapping cosmic string in a de Sitter or anti-de Sitter universe
• Null limits of generalised Bonnor-Swaminarayan solutions
• Particle Creation If a Cosmic String Snaps

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• Impulsive cylindrical gravitational wave: one possible radiative form emitted from cosmic strings and corresponding electromagnetic response
• The global uniqueness and $C^1$-regularity of geodesics in expanding impulsive gravitational waves
• Logarithmic Celestial Conformal Field Theory
• More on gravitational memory
• The global existence, uniqueness and C^1-regularity of geodesics in nonexpanding impulsive gravitational waves
• Memory effect and BMS symmetries for extreme black holes
• On the Various Extensions of the BMS Group
• Geodesics in nonexpanding impulsive gravitational waves with $\Lambda$, Part I
• The regularity of geodesics in impulsive pp-waves
• Gravitational and electromagnetic memory
• Note on electromagnetic memories