TL;DR
This paper classifies and constructs five-dimensional vacuum black holes on gravitational instantons with specific symmetries, expanding the known solutions and including new static and rotating black hole configurations.
Contribution
It introduces a classification scheme for five-dimensional black holes on gravitational instantons with U(1)xU(1) symmetry, including new static and rotating solutions.
Findings
Most known solutions fit into the classification scheme.
New static black holes on Euclidean Kerr and Taub-bolt instantons.
A new rotating black hole on the Eguchi-Hanson instanton.
Abstract
In this paper, we classify and construct five-dimensional black holes on gravitational instantons in vacuum Einstein gravity, with RxU(1)xU(1) isometry. These black holes have spatial backgrounds which are Ricci-flat gravitational instantons with U(1)xU(1) isometry, and are completely regular space-times outside the event horizon. Most of the known exact five-dimensional vacuum black-hole solutions can be classified within this scheme. Amongst the new space-times presented are static black holes on the Euclidean Kerr and Taub-bolt instantons. We also present a rotating black hole on the Eguchi-Hanson instanton.
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