New Bäcklund Transformations and Superposition Principle for Gravitational Fields with Symmetries

Details New Bäcklund Transformations and Superposition Principle for Gravitational Fields with Symmetries New Bäcklund Transformations and Superposition Principle for Gravitational Fields with Symmetries

Jan 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phrvl..50..221c&link_type=abstract

Physical Review Letters, Volume 50, Issue 4, January 24, 1983, pp.221-224

Physics

18

Fundamental Problems And General Formalism, Exact Solutions, Nonlinear Or Nonlocal Theories And Models

Scientific paper

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 σ 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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