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
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

New Asymptotically Flat Einstein-Maxwell Instantons.

Apollo (University of Cambridge)
Black Holes and Theoretical Physics
article

New Asymptotically Flat Einstein-Maxwell Instantons.

article en

Abstract

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.

Apollo (University of Cambridge)
Openalex Percentile: Top 27%
Black Holes and Theoretical Physics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

New Asymptotically Flat Einstein-Maxwell Instantons. · Apollo (University of Cambridge) (2025) | TGRS Research Map | TGRS