Soliton concept in general relativity

Details Soliton concept in general relativity Soliton concept in general relativity

Mar 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..195n&link_type=abstract

General Relativity and Gravitation, vol. 13, Mar. 1981, p. 195-200.

Mathematics

2

Gravitational Fields, Nonlinear Equations, Relativity, Solitary Waves, Space-Time Functions, Field Theory (Physics), Potential Theory, Superposition (Mathematics), Transformations (Mathematics)

Scientific paper

It is noted that soliton physics has made considerable progress in solving nonlinear problems. The soliton concept is related to the stationary axisymmetric vacuum fields in general relativity. A functional transformation is presented which, working as a nonlinear creation operator, generates gravitational fields of isolated sources. When applied to flat space-time ('gravitational vacuum'), this operation results in a nonlinear superposition of an arbitrary number of Kerr particles. This superposition also encompasses the Tomimatsu-Sato fields. The functional transformations make up an infinite-parameter group which contains the Kinnersley-Geroch group as a subgroup.

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