Null limits of generalised Bonnor–Swaminarayan solutions
preprintposted on 06.02.2006, 16:16 by J. Podolsky, Jerry Griffiths
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.
- Mathematical Sciences