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

TL;DR

This paper constructs static, axially symmetric solutions in Einstein-Yang-Mills-dilaton theory, revealing their properties and relation to extremal black holes, expanding understanding of non-spherical configurations in this field.

Contribution

It introduces new static axially symmetric solutions in Einstein-Yang-Mills-dilaton theory, characterized by winding and node numbers, and explores their connection to extremal black holes.

Findings

Solutions are nonsingular and asymptotically flat.

Solutions tend to extremal Einstein-Maxwell-dilaton black holes with increasing node number.

Characterized by winding number n and node number k.

Abstract

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.