Solution generating in 5D Einstein-Maxwell-dilaton gravity and derivation of dipole black ring solutions

Details Solution generating in 5D Einstein-Maxwell-dilaton gravity and derivation of dipole black ring solutions Solution generating in 5D Einstein-Maxwell-dilaton gravity and derivation of dipole black ring solutions

2006-04-20

arxiv.org/abs/hep-th/0604140v2

JHEP0607:036,2006

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 17 pages; v1 typos corrected, comments added; JHEP

Scientific paper

10.1088/1126-6708/2006/07/036

We consider 5D Einstein-Maxwell-dilaton (EMd) gravity in spacetimes with three commuting Killing vectors: one timelike and two spacelike Killing vectors, one of which is hypersurface-orthogonal. Assuming a special ansatz for the Maxwell field we show that the 2-dimensional reduced EMd equations are completely integrable. We also develop a solution generating method for explicit construction of exact EMd solutions from known exact solutions of 5D vacuum Einstein equations with considered symmetries. We derive explicitly the rotating dipole black ring solutions as a particular application of the solution generating method.

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