Physics
Scientific paper
Jul 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phr...229....1v&link_type=abstract
Physics Reports, Volume 229, Issue 1-2, p. 1-80.
Physics
64
Scientific paper
A review of the solutions to Einstein's equations generated by the soliton transform when the spacetime admits two commuting spacelike Killing fields is given. These spacetimes include cosmological models, cylindrical symmetry, plane waves and colliding plane waves. The properties and physical meaning of the solutions is discussed and emphasis is given to those solutions which may have some physical significance. Among the cosmological solutions there are those representing the generation of a gravitational-wave background as a result of classical initial inhomogeneities, finite soliton-like perturbations on Friedmann-Roberston-Walker backgrounds, or the description of the collision and nonlinear interaction of such perturbations. Among the solutions with cylindrical symmetry there are those describing the interaction of a straight cosmic string with gravitational radiation and the gravitational analogue of the Faraday rotation. The soliton transform may also be used to generate the interaction region of most spacetimes representing the head-on collision of gravitational plane waves.
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