Electrovacuum Black Hole Uniqueness

@misc{han2026electrovacuum,
  title = {{Electrovacuum Black Hole Uniqueness}},
  author = {Qing Han and Marcus Khuri and Gilbert Weinstein and Jingang Xiong},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.11140},
  eprint = {2609.11140},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.11140},
}

TY  - UNPB
TI  - Electrovacuum Black Hole Uniqueness
AU  - Qing Han
AU  - Marcus Khuri
AU  - Gilbert Weinstein
AU  - Jingang Xiong
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.11140
UR  - https://arxiv.org/abs/2609.11140
AB  - We prove the black hole uniqueness conjecture in the axially symmetric, stationary, electrovacuum setting, subject to the refined asymptotic analysis of the associated singular harmonic maps, which includes an analyticity hypothesis at the axes. More precisely, it is shown that any asymptotically flat solution of the Einstein--Maxwell equations in this class, with more than one black hole horizon component is either: Majumdar--Papapetrou, up to a duality rotation, in which case all logarithmic angle defects vanish, or every finite axis rod logarithmic angle defect is strictly negative and hence every interaction force is strictly attractive. The proof extends the singular harmonic map method used for vacuum Kerr uniqueness in [18].
ER  -