Einstein--Maxwell--Dilaton metrics from three--dimensional Einstein--Weyl structures
General Relativity and Quantum Cosmology
2014-11-17 v2 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
A class of time dependent solutions to Einstein--Maxwell-dilaton theory with attractive electric force is found from Einstein--Weyl structures in (2+1) dimensions corresponding to dispersionless Kadomtsev--Petviashvili and Toda equations. These solutions are obtained from time--like Kaluza--Klein reductions of solitons.
Keywords
Cite
@article{arxiv.gr-qc/0601014,
title = {Einstein--Maxwell--Dilaton metrics from three--dimensional Einstein--Weyl structures},
author = {Maciej Dunajski},
journal= {arXiv preprint arXiv:gr-qc/0601014},
year = {2014}
}
Comments
12 pages, to be published in Class.Quantum Grav