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New backlund-transformations and superposition principle for gravitational-fields with symmetries

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Chinea Trujillo, Francisco Javier (1983) New backlund-transformations and superposition principle for gravitational-fields with symmetries. Physical review letters, 50 (4). pp. 221-224. ISSN 0031-9007

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.50.221




Abstract

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.


Item Type:Article
Additional Information:

©1983 The American Physical Society.
Financial support by Comision Asesora de Investigacion Científica y Técnica is gratefully acknowledged.

Uncontrolled Keywords:Physics, Multidisciplinary
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:31183
Deposited On:01 Jul 2015 14:07
Last Modified:10 Dec 2018 15:10

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