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PreprintCC BY 4.0arXiv

The Gibbons--Penrose inequality in Minkowski spacetime

Abstract

We prove the Gibbons--Penrose inequality for smooth closed spacelike codimension-two submanifolds of Minkowski spacetime whose past null second fundamental form is non-negative. The proof is motivated by the Alexandrov--Bakelman--Pucci technique.

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BibTeX
@misc{wan2026gibbonspenrose,
  title = {{The Gibbons--Penrose inequality in Minkowski spacetime}},
  author = {Jingbo Wan and Yipeng Wang},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08609},
  eprint = {2611.08609},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08609},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The Gibbons--Penrose inequality in Minkowski spacetime
AU  - Jingbo Wan
AU  - Yipeng Wang
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.08609
UR  - https://arxiv.org/abs/2611.08609
AB  - We prove the Gibbons--Penrose inequality for smooth closed spacelike codimension-two submanifolds of Minkowski spacetime whose past null second fundamental form is non-negative. The proof is motivated by the Alexandrov--Bakelman--Pucci technique.
ER  -