Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-02-12
Phys.Rev.D73:104007,2006
Physics
High Energy Physics
High Energy Physics - Theory
LaTex, 13 pages; v2 some typos corrected, references added;v3 more typos corrected, more references added, some explanations e
Scientific paper
10.1103/PhysRevD.73.104007
We consider 5D Einstein-Maxwell (EM) gravity in spacetimes with three commuting Killing vectors: one timelike and two spacelike Killing vectors one of them being hypersurface-orthogonal. Assuming a special ansatz for the Maxwell field we show that the 2-dimensional reduced EM equations are completely integrable by deriving a Lax-pair presentation. We also develop a solution generating method for explicit construction of exact EM solutions with considered symmetries. We also derive explicitly a new rotating six parametric 5D EM solution which includes the dipole black ring solution as a particular case.
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