Work

Angular Momenta in $4+1$ Vacuum Critical Collapse

Year: 2026
Type: preprint
Abstract: We investigate the critical collapse of gravitational waves that carry angular momenta. Working in five-dimensional vacuum Einstein gravity under an SU$(2)\times\mathbb Z_4$ 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.
Language: English
Open Access status: green
OpenAlex ID: W7222970331
Cites: 22
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Related to: 10