English

New asymptotically flat Einstein--Maxwell instantons

General Relativity and Quantum Cosmology 2025-11-19 v2 High Energy Physics - Theory Differential Geometry

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 M=\CP2S1M=\CP^2\setminus S^1. In the case of vanishing charge, these instantons reduce to the Chen--Teo Ricci flat instantons.

Keywords

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

R2 v1 2026-07-01T06:22:41.323Z