Double structures and soliton double solution family for Einstein-Maxwell-dilaton theory
type: Item
instance of: scholarly article
title: Double structures and soliton double solution family for Einstein-Maxwell-dilaton theory
zbMATH Open document ID: 1040.83008
DOI: 10.1023/A:1026211414773
published in: General Relativity and Gravitation
publication date: 2004-01-23T00:00:00Z
review text: Currently much attention is being paid to the study of various symmetries and string theories to really know more and more about the true structure of nature. The author considers pure electric reduced Einstein-Maxwell-dilaton (EMD) theory by using an extended double complex method. This model is found to have richer symmetries leading to some new results. Double symmetry transformations of the double motion equations are constructed, which in turn are used to obtain an infinite chain of double solutions. A suitable form of an extended double inverse scattering method is given by which a double solution family of the model is obtained. A possibility of extending the conclusions of this paper is also pointed out.
Mathematics Subject Classification ID: 83C22
Mathematics Subject Classification ID: 83D05
zbMATH DE Number: 2031220
zbMATH Keywords: Einstein-Maxwell-dilaton theory
zbMATH Keywords: extended double complex method
zbMATH Keywords: double symmetry transformation
zbMATH Keywords: infinite chain of double solutions
zbMATH Keywords: double inverse scattering method
zbMATH Keywords: soliton double solution family
author: Ya-Jun Gao
MaRDI profile type: Publication
cites work: Duality symmetric actions
cites work: Strong-weak coupling duality in four-dimensional string theory
cites work: \(O(2,2)\) transformations and the string Geroch group.
cites work: Strong-weak coupling duality in three-dimensional string theory
cites work: Duality symmetry group of two-dimensional heterotic string theory
cites work: Symmetries of heterotic string theory
cites work: Integrable Systems in Stringy Gravity
cites work: Soliton solution in dilaton-Maxwell gravity
cites work: Generation of new solutions of the stationary axisymmetric Einstein equations by a double complex function method
cites work: Extended double Riemann–Hilbert problem and multiple representations of the infinite-dimensional symmetric group for the stationary axisymmetric vacuum field equations
cites work: Regular double Riemann–Hilbert problems and double Kac–Moody algebraic structures for two-dimensional reduced gravity
cites work: Linear double universal Grassmann manifold method for the stationary axisymmetric vacuum gravitational field equations
cites work: Multiple Lax pair for the double Ernst equation
cites work: Extended double soliton solution families for the statically axisymmetric self-dual \(SU(2)\) gauge field equations
cites work: Double structures and multiple symmetry groups for the reduced 4-dimensional string background equations
cites work: Symmetries of the stationary Einstein - Maxwell-dilaton system
full work available at URL: a:1026211414773
OpenAlex ID: W1633301476
description: scientific article; zbMATH DE number 2031220