Static Axially Symmetric Solutions of Einstein–Yang-Mills-Dilaton Theory

We construct static axially symmetric solutions of SU(2) Einstein–Yang-Mills-dilaton theory. Like their spherically symmetric counterparts, these solutions are nonsingular and asymptotically flat. The solutions are characterized by the winding number $n$ and the node number $k$ of the gauge field functions. For fixed $n$ with increasing $k$ the solutions tend to “extremal” Einstein-Maxwell-dilaton black holes with $n$ units of magnetic charge.