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PreprintarXiv licencearXiv

Nonexistence of Multiple Black Holes in Stationary Analytic Vacuum spacetimes

  • Yishen Huang
  • Junbin Li
  • Xi-Ping Zhu
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Abstract

We prove the nonexistence of non-rotating and degenerate horizon components in the stationary, asymptotically flat, I+-regular, analytic vacuum spacetime. This result rules out the final case in the classification of stationary analytic black-hole spacetimes. Consequently, the stationary, asymptotically flat, I+-regular, analytic vacuum black hole uniqueness conjecture is settled affirmatively in full.

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Cite

BibTeXRIS
BibTeX
@misc{huang2026nonexistence,
  title = {{Nonexistence of Multiple Black Holes in Stationary Analytic Vacuum spacetimes}},
  author = {Yishen Huang and Junbin Li and Xi-Ping Zhu},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.03766},
  eprint = {2611.03766},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.03766},
}
RIS
TY  - UNPB
TI  - Nonexistence of Multiple Black Holes in Stationary Analytic Vacuum spacetimes
AU  - Yishen Huang
AU  - Junbin Li
AU  - Xi-Ping Zhu
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.03766
UR  - https://arxiv.org/abs/2611.03766
AB  - We prove the nonexistence of non-rotating and degenerate horizon components in the stationary, asymptotically flat, I^+-regular, analytic vacuum spacetime. This result rules out the final case in the classification of stationary analytic black-hole spacetimes. Consequently, the stationary, asymptotically flat, I^+-regular, analytic vacuum black hole uniqueness conjecture is settled affirmatively in full.
ER  -