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arXiv · 0901.0098

Generating solutions via sigma-models

Dmitri V. Gal'tsov
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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.

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Dmitri V. Gal'tsov. 2008-12-31. Generating solutions via sigma-models. https://doi.org/10.1143/ptps.172.121

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