Integrability formulation and Bäcklund transformations for gravitational fields with symmetries | Zendy

F. J. Chinea | Zendy

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Integrability formulation and Bäcklund transformations for gravitational fields with symmetries

Author(s) -

F. J. Chinea

Publication year - 1981

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Language(s) - English

Resource type - Journals

eISSN - 1089-4918

pISSN - 0556-2821

DOI - 10.1103/physrevd.24.1053

Subject(s) - physics , homogeneous space , mathematical physics , isometry group , curvature , context (archaeology) , gravitation , classical mechanics , gauge (firearms) , gauge theory , mathematics , geometry , paleontology , biology , history , archaeology

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. B\"acklund transformations are introduced as a special case of gauge transformations, and strong B\"acklund transformations are obtained in that context.

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