d⩾5 magnetized static, balanced black holes with S2×Sd−4 event horizon topology

We construct static, nonextremal black hole solutions of the Einstein-Maxwell equations in d=6,7 spacetime dimensions, with an event horizon of S2×Sd−4 topology. These configurations are asymptotically flat, the U(1) field being purely magnetic, with a spherical distribution of monopole charges but no net charge measured at infinity. They can be viewed as generalizations of the d=5 static dipole black ring, sharing its basic properties, in particular the presence of a conical singularity. The magnetized version of these solutions is constructed by applying a Harrison transformation, which puts them into an external magnetic field. For d=5,6,7, balanced configurations approaching asymptotically a Melvin universe background are found for a critical value of the background magnetic field.