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

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1981

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Amer Physical Soc
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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. Bäcklund transformations are introduced as a special case of gauge transformations, and strong Bäcklund transformations are obtained in that context.

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© American Physical Society

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