Integrability formulation and bäcklund-transformations for gravitational-fields with symmetries

Chinea Trujillo, Francisco Javier2023-06-212023-06-2119811550-799810.1103/PhysRevD.24.1053https://hdl.handle.net/20.500.14352/64980© American Physical SocietyThe 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.engIntegrability formulation and bäcklund-transformations for gravitational-fields with symmetriesjournal articlehttp://dx.doi.org/10.1103/PhysRevD.24.105http://journals.aps.orgopen access51-73Astronomy & AstrophysicsPhysicsParticles & FieldsFísica-Modelos matemáticosFísica matemática