Note on localized solutions of a nonlinear Klein-Gordon equation related to Riemannian geometry

descriptionPublicationkeyboard_double_arrow_right Article 15 Dec 1978 English Publisher:American Physical Society (APS)Journal:Physical Review D, volume 18, pages 4,525-4,528 (issn: 0556-2821,

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Authors: Eckehard W. Mielke;

doi: 10.1103/physrevd.18.4525

Note on localized solutions of a nonlinear Klein-Gordon equation related to Riemannian geometry

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Abstract

A nonlinear complex scalar field with a phi/sup 2d//(d - 2) self-interaction is considered in a flat, (d + 1) -dimensional space-time. Conformal techniques familiar in differential geometry become operative in the construction of exact, ''soliton''-type solutions exhibiting finite energies, but exponential decays.

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Kiel University
Germany

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