New examples of sandwich gravitational waves and their impulsive limit

Abstract

Non-standard sandwich gravitational waves are constructed from the homogeneous pp vacuum solution and the motions of free test particles in the space-times are calculated explicitly. They demonstrate the caustic property of sandwich waves. By performing limits to impulsive gravitational wave it is demonstrated that the resulting particle motions are identical regardless of the ''initial'' sandwich.

9 pages, to be published in Czech. J. Phys

Cited by in corpus (18)

• Type D Einstein spacetimes in higher dimensions
• A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves
• Velocity Memory Effect for Polarized Gravitational Waves
• A note on the Penrose junction conditions
• Exact impulsive gravitational waves in spacetimes of constant curvature
• On the geometry of impulsive gravitational waves
• Symmetries and geodesics in (anti-)de Sitter spacetimes with nonexpanding impulsive waves
• Memory effect, conformal symmetry and gravitational plane waves
• From polarized gravitational waves to analytically solvable electromagnetic beams
• Niederer's transformation, time-dependent oscillators and polarized gravitational waves
• Chaotic motion in pp-wave spacetimes
• The global existence, uniqueness and C^1-regularity of geodesics in nonexpanding impulsive gravitational waves
• Kinetic Energy and Angular Momentum of Free Particles in the Gyratonic pp-Waves Space-times
• Variations of the Energy of Free Particles in the pp-Wave Spacetimes
• Penrose junction conditions extended: impulsive waves with gyratons
• The Work-Energy Relation for Particles on Geodesics in the pp-Wave Spacetimes
• Neutrino Fields in a Sandwich Gravitational Wave Background
• Smooth sandwich gravitational waves