New asymptotically flat Einstein--Maxwell instantons
Abstract
We disprove the Euclidean Einstein--Maxwell Black Hole Uniqueness Conjecture, and thus demonstrate that the semi-classical properties of coupled gravitational and electromagnetic fields are more subtle than expected from Lorentzian general relativity, where the Kerr-Newman family of metrics yields the most general stationary and asymptotically flat black holes with a single event horizon. This is achieved by an explicit construction of a new three--parameter family of asymptotically flat Einstein--Maxwell instantons. These solutions are toric, regular, and free of conical and orbifold singularities on the manifold . In the case of vanishing charge, these instantons reduce to the Chen--Teo Ricci flat instantons.
Cite
@article{arxiv.2510.06458,
title = {New asymptotically flat Einstein--Maxwell instantons},
author = {Bernardo Araneda and Maciej Dunajski},
journal= {arXiv preprint arXiv:2510.06458},
year = {2025}
}
Comments
Final version. The NUT parameter explicitly computed from the rod structure. To appear in Physical Review Letters