Null limits of generalised Bonnor-Swaminarayan solutions

Abstract

The Bonnor-Swaminarayan solutions are boost-rotation symmetric space-times which describe the motion of pairs of accelerating particles which are possibly connected to strings (struts). In an explicit and unified form we present a generalised class of such solutions with a few new observations. We then investigate the possible limits in which the accelerations become unbounded. The resulting space-times represent spherical impulsive gravitational waves with snapping or expanding cosmic strings. We also obtain an exact solution for a snapping string of finite length.

13 pages LaTeX 2e. To appear in Gen. Rel. Grav

References in corpus (2)

• Expanding impulsive gravitational waves
• The collision and snapping of cosmic strings generating spherical impulsive gravitational waves

Cited by in corpus (6)

• Exact impulsive gravitational waves in spacetimes of constant curvature
• Geodesics in spacetimes with expanding impulsive gravitational waves
• The global uniqueness and $C^1$-regularity of geodesics in expanding impulsive gravitational waves
• Refraction of geodesics by impulsive spherical gravitational waves in constant-curvature spacetimes with a cosmological constant
• A snapping cosmic string in a de Sitter or anti-de Sitter universe
• Newtonian restricted three-body gravitational problem with positive and negative point masses