
doi: 10.1063/1.528597
Using the Belinsky–Zakharov generating technique and a flat metric as a seed, two- and four-soliton solutions of the Einstein vacuum equations for the cases of stationary axisymmetric, cylindrically symmetric, or plane symmetric gravitational fields are considered. Three- and five-parameter classes of exact solutions are obtained, some of which are new.
soliton solutions, Partial differential equations of mathematical physics and other areas of application, Einstein vacuum equations, Applications of local differential geometry to the sciences, Exact solutions to problems in general relativity and gravitational theory, Einstein's equations (general structure, canonical formalism, Cauchy problems), exact solutions
soliton solutions, Partial differential equations of mathematical physics and other areas of application, Einstein vacuum equations, Applications of local differential geometry to the sciences, Exact solutions to problems in general relativity and gravitational theory, Einstein's equations (general structure, canonical formalism, Cauchy problems), exact solutions
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