Einstein--Maxwell--Dilaton metrics from three--dimensional Einstein--Weyl structures

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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12 pages, to be published in Class.Quantum Grav

Scientific paper

10.1088/0264-9381/23/9/004

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
$SU(\infty)$ Toda equations. These solutions are obtained from time--like
Kaluza--Klein reductions of $(3+2)$ solitons.

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