New Bäcklund Transformations and Superposition Principle for Gravitational Fields with Symmetries | Zendy

F. J. Chinea | Zendy

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New Bäcklund Transformations and Superposition Principle for Gravitational Fields with Symmetries

Author(s) -

F. J. Chinea

Publication year - 1983

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.50.221

Subject(s) - superposition principle , homogeneous space , flatness (cosmology) , physics , sigma model , mathematical physics , invariant (physics) , einstein , nonlinear system , algebraic number , simple (philosophy) , einstein equations , gravitation , classical mechanics , theoretical physics , quantum mechanics , mathematical analysis , mathematics , general relativity , cosmology , philosophy , geometry , epistemology

Vector Bäcklund transformations which relate solutions of the vacuum Einstein equations having two commuting Killing fields are introduced. Such transformations generalize those found by Pohlmeyer in connection with the nonlinear δ model. A simple algebraic superposition principle, which permits the combination of Bäcklund transforms in order to get new solutions, is given. The superposition preserves the asymptotic flatness condition, and the whole scheme is manisfestly O(2, 1) invariant

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