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

12 pages, to be published in Class.Quantum Grav

References in corpus (4)

• Einstein-Weyl geometry, the dKP equation and twistor theory
• Dyson Pairs and Zero-Mass Black Holes
• Brane Worlds in Collision
• Critical behavior in vacuum gravitational collapse in 4+1 dimensions

Cited by in corpus (5)

• Geometry of Killing spinors in neutral signature
• Special Geometry and Space-time Signature
• Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces
• Klein and Conformal Superspaces, Split Algebras and Spinor Orbits
• Quantum Klein Space and Superspace