BHT2 - Self-Graviting Systems (black Rings and Black Strings) |
Speaker_ |
Yazadjiev, Stoytcho |
Talk _ |
Derivation of the dipole black ring solutions |
Abstract _ |
We consider 5D Einstein-Maxwell-dilaton (EMd) 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 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 dipole black ring solution as a particular application of the solution generating method. |