Remarks on harmonic maps, solitons, and dilaton gravity
General Relativity and Quantum Cosmology
2007-05-23 v1
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.
Cite
@article{arxiv.gr-qc/0312046,
title = {Remarks on harmonic maps, solitons, and dilaton gravity},
author = {Floyd L. Williams},
journal= {arXiv preprint arXiv:gr-qc/0312046},
year = {2007}
}
Comments
3 pages, to appear