New Asymptotically Flat Einstein-Maxwell Instantons.
We disprove the Euclidean Einstein-Maxwell black hole uniqueness conjecture, and thus demonstrate that the semiclassical 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=CP^{2}\S^{1}. In the case of vanishing charge, these instantons reduce to the Chen-Teo Ricci-flat instantons.
Publication Details
- Journal
- Apollo (University of Cambridge)
- Published
- 2025-11-20
- DOI
- https://doi.org/10.17863/cam.123306
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00