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Soliton concept in general relativity (1981)

Neugebauer, Gernot ; Kramer, Dietrich

Springer

General relativity and gravitation 13 (1981), S. 195-200

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ISSN: 1572-9532

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00758546

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