Generating solutions via sigma-models

Abstract

We review recent development of solution-generating techniques for four and five-dimensional Einstein equations coupled to vector and scalar fields. This includes D=4 Einstein-Maxwell-dilaton-axion theory with multiple vector fields, D=5 Einstein-Maxwell gravity with the Chern-Simons term (minimal five-dimensional supergravity), and some other models which attracted attention in connection with black rings. The method is based on reduction to three-dimensional gravity coupled sigma-models with symmetric target spaces. Our recent results open a way to construct the general charged black rings in five-dimensional supergravity possibly coupled to vector multiplets.

An updated version of the talk given at ICGA8 and published in the Proceedings. 14 pages, ptptex

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Cited by in corpus (9)

• Ehlers as EM duality in the double copy
• G2 Dualities in D=5 Supergravity and Black Strings
• Conformal Symmetry of a Black Hole as a Scaling Limit: A Black Hole in an Asymptotically Conical Box
• Charged Kaluza-Klein double-black holes in five dimensions
• Static spacetimes haunted by a phantom scalar field II: dilatonic charged solutions
• Meissner effect and holographic dual for the Melvin-Kerr-Newman-Taub-NUT spacetimes
• Five-dimensional electrostatic black holes in a background field
• Bertotti-Robinson and soliton string solutions of $D=5$ minimal supergravity
• New coset matrix for D=6 self-dual supergravity