Cylindrically symmetric solitary wave solutions to the Einstein equations
- 1 September 1984
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 25 (9) , 2675-2681
- https://doi.org/10.1063/1.526499
Abstract
The integration of the Einstein equations for cylindrically symmetric solitary waves is reduced to a single quadrature when the ‘‘seed’’ solution is diagonal. Also in this case, explicit formulas that show the solitary wave character of the one- and two-soliton solutions are studied. A particular case of n-soliton solution is exhibited. Two theorems that show how to construct new solutions from known ones are presented.Keywords
This publication has 15 references indexed in Scilit:
- Stationary Line ofKerr Masses Kept Apart by Gravitational Spin-Spin InteractionPhysical Review Letters, 1983
- New two-soliton solution to the Einstein equationsPhysical Review D, 1982
- Solitary waves of matter in general relativityPhysical Review D, 1982
- A new class of bipolar vacuum gravitational fieldsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1982
- Soliton solutions for self-dual SU(2) gauge fields on Euclidean spaceJournal of Mathematical Physics, 1982
- Stationary System of Two Masses Kept Apart by Their Gravitational Spin-Spin InteractionPhysical Review Letters, 1982
- Two-soliton waves in anisotropic cosmologyIl Nuovo Cimento B (1971-1996), 1980
- A homogeneous Hilbert problem for the Kinnersley–Chitre transformationsJournal of Mathematical Physics, 1980
- The superposition of two Kerr solutionsPhysics Letters A, 1980
- Dynamics of classical solitons (in non-integrable systems)Physics Reports, 1978