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Remarks on harmonic maps, solitons, and dilaton gravity

Floyd L. Williams
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Abstract

Another connection of harmonic maps to gravity is presented. Using 1-soliton and anti-soliton solutions of the sine-Gordon equation, we construct a pair of harmonic maps that we express in terms of a particular dilaton field in Jackiw-Teitelboim gravity. This field satisfies a linearized sine-Gordon equation. We use it also to construct an explicit transformation that relates the corresponding solitonic metric to a two dimensional black hole metric.

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Floyd L. Williams. 2003-12-08. Remarks on harmonic maps, solitons, and dilaton gravity. https://arxiv.org/abs/gr-qc/0312046

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