The Inverse Scattering Method, Lie-Backlund Transformations and Solitons for Low-energy Effective Field Equations of 5D String Theory
arXiv:hep-th/0312258 · doi:10.1103/PhysRevD.69.105002
Abstract
In the framework of the 5D low-energy effective field theory of the heterotic string with no vector fields excited, we combine two non-linear methods in order to construct a solitonic field configuration. We first apply the inverse scattering method on a trivial vacuum solution and obtain an stationary axisymmetric two-soliton configuration consisting of a massless gravitational field coupled to a non-trivial chargeless dilaton and to an axion field endowed with charge. The implementation of this method was done following a scheme previously proposed by Yurova. We also show that within this scheme, is not possible to get massive gravitational solitons at all. We then apply a non-linear Lie-Backlund matrix transformation of Ehlers type on this massless solution and get a massive rotating axisymmetric gravitational soliton coupled to axion and dilaton fields endowed with charges. We study as well some physical properties of the constructed massless and massive solitons and discuss on the effect of the generalized solution generating technique on the seed solution and its further generalizations.
17 pages in latex, changed title, improved text, added references
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Cited by in corpus (6)
- New Axisymmetric Stationary Solutions of Five-dimensional Vacuum Einstein Equations with Asymptotic Flatness
- Dilaton black holes with squashed horizons and their thermodynamics
- Solitonic generation of vacuum solutions in five-dimensional General Relativity
- Generating dyonic solutions in 5D Einstein-dilaton gravity with antisymmetric forms and dyonic black rings
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- Solitons via Lie-Bäcklund Transformation for 5D Low-energy String Theory