Einstein--Maxwell--Dilaton metrics from three--dimensional Einstein--Weyl structures
Abstract
A class of time dependent solutions to (3+1) Einstein--Maxwell-dilaton theory with attractive electric force is found from Einstein--Weyl structures in (2+1) dimensions corresponding to dispersionless Kadomtsev--Petviashvili and SU(∞) Toda equations. These solutions are obtained from time--like Kaluza--Klein reductions of (3+2) solitons.
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