Black hole stability conjecture

The black hole stability conjecture is the conjecture that a perturbed Kerr black hole in Minkowski space will settle back down to a stable state. The question developed out of work in 1952 by the French mathematician Yvonne Choquet-Bruhat.^[1][2]

The stability of empty Minkowski space is a result of Klainerman and Christodoulou from 1993.^[3]

A 2016 by Hintz and Vasy paper proved the stability of slowly rotating Kerr black holes in de Sitter space.^[4][2]

A limited stability result for Kerr black holes in Schwarzschild space-time was published by Klainerman and Szeftel in 2017.^[5][2]

Culminating in 2022, a series of papers was published by Giorgi, Klainerman and Szeftel which present a proof of the conjecture for slowly rotating Kerr black holes in Minkowski space-time.^[6][7][8]

See also

• Final state conjecture
• Stability of matter
• Positive energy theorem
• Birkhoff's theorem (relativity)
• Penrose–Hawking singularity theorems
• Hoop conjecture