$d\geq 5$ static black holes with $S^2\times S^{d-4}$ event horizon topology

TL;DR

This paper provides numerical evidence for new static black hole solutions in six or more dimensions with an event horizon topology of S^2×S^{d-4}, similar to black rings but with conical singularities.

Contribution

The paper introduces and numerically demonstrates the existence of higher-dimensional static black holes with novel horizon topology.

Findings

Existence of static black holes with S^2×S^{d-4} topology in d≥6.

Solutions approach Minkowski space asymptotically.

Presence of conical singularities in these solutions.

Abstract

We present numerical evidence for the existence of new black hole solutions in $d\geq 6$ spacetime dimensions. They approach asymptotically the Minkowski background and have an event horizon topology $S^2\times S^{d-4}$. These static solutions share the basic properties of the nonrotating black rings in five dimensions, in particular the presence of a conical singularity.