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PreprintCC BY 4.0arXiv

Angular Momenta in 4+1 Vacuum Critical Collapse

  • Oscar J. C. Dias
  • Carsten Gundlach
  • Jorge E. Santos
  • Benson Way
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Abstract

We investigate the critical collapse of gravitational waves that carry angular momenta. Working in five-dimensional vacuum Einstein gravity under an SU(2)×ℤ4 symmetry ansatz, we numerically evolve several families of initial data near the threshold of black-hole formation. Near-critical data approaches the discretely self-similar Bizoń-Chmaj-Schmidt solution, which is irrotational. We find that the near-threshold mass scaling has a universal critical exponent, but the angular-momentum scaling has one of two critical exponents, depending on the family of initial data. The angular-momentum critical exponents are therefore not universal under this symmetry ansatz. Our results agree with predictions from perturbation theory about the critical solution.

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Cite

BibTeXRIS
BibTeX
@misc{dias2026angular,
  title = {{Angular Momenta in $4+1$ Vacuum Critical Collapse}},
  author = {Oscar J. C. Dias and Carsten Gundlach and Jorge E. Santos and Benson Way},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22475},
  eprint = {2610.22475},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22475},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Angular Momenta in 4+1 Vacuum Critical Collapse
AU  - Oscar J. C. Dias
AU  - Carsten Gundlach
AU  - Jorge E. Santos
AU  - Benson Way
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.22475
UR  - https://arxiv.org/abs/2610.22475
AB  - We investigate the critical collapse of gravitational waves that carry angular momenta. Working in five-dimensional vacuum Einstein gravity under an SU(2)×ℤ_4 symmetry ansatz, we numerically evolve several families of initial data near the threshold of black-hole formation. Near-critical data approaches the discretely self-similar Bizoń-Chmaj-Schmidt solution, which is irrotational. We find that the near-threshold mass scaling has a universal critical exponent, but the angular-momentum scaling has one of two critical exponents, depending on the family of initial data. The angular-momentum critical exponents are therefore not universal under this symmetry ansatz. Our results agree with predictions from perturbation theory about the critical solution.
ER  -