English

Black holes on gravitational instantons

High Energy Physics - Theory 2011-08-31 v2 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.1011.6464,
  title  = {Black holes on gravitational instantons},
  author = {Yu Chen and Edward Teo},
  journal= {arXiv preprint arXiv:1011.6464},
  year   = {2011}
}

Comments

28 pages, 2 figures, LaTeX; minor changes, published version

R2 v1 2026-06-21T16:50:50.915Z