Year: 2008
Type: article
Abstract: We develop a generating technique for solutions of $U(1{)}^{3}$ 5D supergravity via dimensional reduction to three dimensions. This theory, which recently attracted attention in connection with black rings, can be viewed as a consistent truncation of the ${T}^{6}$ compactification of the 11-dimensional supergravity. Its further reduction to three dimensions accompanied by dualization of the vector fields leads to a 3D gravity coupled sigma model on the homogeneous space $SO(4,4)/SO(4)\ifmmode\times\else\texttimes\fi{}SO(4)$ or $SO(4,4)/SO(2,2)\ifmmode\times\else\texttimes\fi{}SO(2,2)$ depending on the signature of the three-space. We construct a $8\ifmmode\times\else\texttimes\fi{}8$ matrix representation of these cosets in terms of lower-dimensional blocks. Using it we express a solution generating transformations in terms of potentials and identify those preserving asymptotic conditions relevant to black holes and black rings. As an application we derive the doubly rotating black hole solution with three independent charges. A suitable contraction of the above cosets is used to construct a new representation of the coset ${G}_{2(2)}/(SL(2,R)\ifmmode\times\else\texttimes\fi{}SL(2,R))$ relevant for minimal five-dimensional supergravity.
Institution: Lomonosov Moscow State University
Language: Latvian
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2005725399