Abstract
With the traveling-wave condition of Yan and Ge, the traveling-wave-type gravitational two-soliton solutions are generated from a flat metric by using the inverse scattering method (ISM) of Belinsky and Zakharov (BZ). It is shown that when the traveling-wave condition is added to the condition required by the BZ technique the exact general solutions of the vacuum gravitational field equations can be found by straightforward integration; in the general solutions there are three arbitrary functions. A special solution with solitonic character in the ordinary sense is also given.
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Ma, GW. Traveling-wave-type gravitational soliton solutions. Int J Theor Phys 35, 1019–1026 (1996). https://doi.org/10.1007/BF02302386
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DOI: https://doi.org/10.1007/BF02302386