0000000000320695
AUTHOR
Jerry B. Griffiths
showing 3 related works from this author
Soliton Solutions with Real Poles in the Alekseev formulation of the Inverse-Scattering method
1999
A new approach to the inverse-scattering technique of Alekseev is presented which permits real-pole soliton solutions of the Ernst equations to be considered. This is achieved by adopting distinct real poles in the scattering matrix and its inverse. For the case in which the electromagnetic field vanishes, some explicit solutions are given using a Minkowski seed metric. The relation with the corresponding soliton solutions that can be constructed using the Belinskii-Zakharov inverse-scattering technique is determined.
The Weber-Wheeler-Bonnor pulse and phase shifts in gravitational soliton interactions
1997
Abstract The WWB cylindrical pulse solution and the equivalent G 2 solution are analyzed particularly as the wave is reflected off the axis. Apparent phase shifts are revealed that are relevant to the discussion of whether or not phase shifts occur in gravitational soliton interactions.
The extensions of gravitational soliton solutions with real poles
1998
We analyse vacuum gravitational "soliton" solutions with real poles in the cosmological context. It is well known that these solutions contain singularities on certain null hypersurfaces. Using a Kasner seed solution, we demonstrate that these may contain thin sheets of null matter or may be simple coordinate singularities, and we describe a number of possible extensions through them.