Static black hole solutions with axial symmetry

TL;DR

This paper introduces a new class of static, asymptotically flat black hole solutions with axial symmetry in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theories, characterized by two integers, expanding the known solution space.

Contribution

It constructs the first known static black hole solutions with axial symmetry in these theories, characterized by winding and node numbers.

Findings

Black hole solutions are static and have regular event horizons.

Solutions are characterized by winding number n and node number k.

Solutions are asymptotically flat in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theories.

Abstract

We construct a new class of asymptotically flat black hole solutions in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These black hole solutions are static, and they have a regular event horizon. However, they possess only axial symmetry. Like their regular counterparts, the black hole solutions are characterized by two integers, the winding number $n$ and the node number $k$ of the gauge field functions.