Magnetized static black Saturn

TL;DR

This paper presents a new static five-dimensional black Saturn solution with a black hole and dipole black ring in equilibrium due to an external magnetic field, revealing non-uniqueness in such configurations.

Contribution

It introduces a novel static black Saturn solution in 5D Einstein-Maxwell theory with magnetic field support, highlighting non-uniqueness of static black objects.

Findings

The solution describes a black hole with a surrounding dipole black ring in equilibrium.

The configuration exhibits non-uniqueness for fixed mass and background.

Physical properties of the solution are explicitly calculated.

Abstract

We construct a new static solution to the 5D Einstein-Maxwell equations describing a static black hole surrounded by a non-rotating dipole black ring. The configuration is kept in equilibrium by an external magnetic field interacting with the dipole charge of the black ring. The properties of the black Saturn-like configuration are studied and the basic physical quantities are calculated. The solution demonstrates 2-fold continuous non-uniqueness of the 5D magnetized static neutral black objects for fixed total mass and Melvin background.