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

Abstract

We present numerical evidence for the existence of new black hole solutions in $d\ge 6$ 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.

10 pages, 4 figures

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• Generalized Weyl solutions in d=5 Einstein-Gauss-Bonnet theory: the static black ring
• Bubbles of nothing in binary black holes and black rings, and viceversa
• Two Schwarzschild-like black holes balanced by their scalar hair
• Charged Balanced Black Rings in Five Dimensions
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• Black ringoids: spinning balanced black objects in $d\ge 5$ dimensions -- the codimension-two case
• Balancing a static black ring with a phantom scalar field
• On the black hole species (by means of natural selection)
• $d\ge 5$ magnetized static, balanced black holes with $S^2\times S^{d-4}$ event horizon topology
• Towards higher dimensional black rings
• Charged, rotating black objects in Einstein-Maxwell-dilaton theory in $D\ge 5$