Soliton concept in general relativity |
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Authors: | Gernot Neugebauer Dietrich Kramer |
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Institution: | (1) Sektion Physik der Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, DDR-69 Jena |
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Abstract: | Soliton physics has made considerable progress in solving nonlinear problems. This paper is meant to relate the soliten concept to the stationary axisymmetric vacuum fields in general relativity. We present a functional transformation which, working as a nonlinear creation operator, generates gravitational fields of isolated sources. When applied to flat space-time (gravitational vacuum) this operation leads to a nonlinear superposition of an arbitrary number of Kerr particles. This superposition also includes the Tomimatsu-Sato fields. The functional transformations form an infinite-parameter group which contains the Kinnersley-Geroch group as a subgroup.This essay received the second award from the Gravity Research Foundation for the year 1980.-Ed. |
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