Integrability formulation and bäcklund-transformations for gravitational-fields with symmetries
The Ernst equation for gravitational fields with a two-parameter isometry group is formulated as a vanishing-curvature condition on an SU(2) or SU(1,1) bundle, both in the elliptic and hyperbolic cases. Bäcklund transformations are introduced as a special case of gauge transformations, and strong Bä...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1981 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/64980 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/64980 |
| Access Level: | acceso abierto |
| Palabra clave: | 51-73 Astronomy & Astrophysics Physics Particles & Fields Física-Modelos matemáticos Física matemática |
| Sumario: | The Ernst equation for gravitational fields with a two-parameter isometry group is formulated as a vanishing-curvature condition on an SU(2) or SU(1,1) bundle, both in the elliptic and hyperbolic cases. Bäcklund transformations are introduced as a special case of gauge transformations, and strong Bäcklund transformations are obtained in that context. |
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