Charged black rings from inverse scattering

Abstract

The inverse scattering method of Belinsky and Zakharov is a powerful method to construct solutions of vacuum Einstein equations. In particular, in five dimensions this method has been successfully applied to construct a large variety of black hole solutions. Recent applications of this method to Einstein-Maxwell-dilaton (EMd) theory, for the special case of Kaluza-Klein dilaton coupling, has led to the construction of the most general black ring in this theory. In this contribution, we review the inverse scattering method and its application to the EMd theory. We illustrate the efficiency of these methods with a detailed construction of an electrically charged black ring.

24 pages, 5 figures, invited review article for Gen. Rel. Grav.; v2: added references and minor corrections to match published version

References in corpus (11)

• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Bicycling Black Rings
• Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes
• Orthogonal black di-ring solution
• Completely integrable sector in 5D Einstein-Maxwell gravity and derivation of the dipole black ring solutions
• Vaccum solutions of five-dimensional Einstein equations generated by inverse scattering method II : Production of black ring solution
• Rotating Einstein-Maxwell-Dilaton Black Holes in D Dimensions
• Solution generating in 5D Einstein-Maxwell-dilaton gravity and derivation of dipole black ring solutions
• Generating technique for $U(1{)}^{3}5D$ supergravity
• Charged black rings in supergravity with a single non-zero gauge field
• A Charged Doubly Spinning Black Ring

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• Smooth non-extremal D1-D5-P solutions as charged gravitational instantons
• Geroch Group Description of Bubbling Geometries