d=4+1 gravitating nonabelian solutions with bi-azimuthal symmetry

TL;DR

This paper constructs and analyzes static, asymptotically flat SU(2) Einstein-Yang-Mills solutions in 4+1 dimensions with bi-azimuthal symmetry, exploring both particle-like and black hole configurations with different boundary conditions.

Contribution

It introduces new 4+1 dimensional gravitating solutions with bi-azimuthal symmetry, including multisolitons and soliton-antisoliton pairs, expanding the understanding of higher-dimensional gauge-gravity systems.

Findings

Multi-soliton solutions have lower mass per unit charge than spherical solitons.

Black hole solutions are constructed with bi-azimuthal symmetry.

Different boundary conditions lead to distinct solution families.

Abstract

We construct static, asymptotically flat solutions of SU(2) Einstein-Yang-Mills theory in 4+1 dimensions, subject to bi-azimuthal symmetry. Both particle-like and black hole solutions are considered for two different sets of boundary conditions in the Yang--Mills sector, corresponding to multisolitons and soliton-antisoliton pairs. For gravitating multi-soliton solutions, we find that their mass per unit charge is lower than the mass of the corresponding unit charge, spherically symmetric soliton.