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]
^Fourès-Bruhat, Y. (1952). "Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires". Acta Mathematica. 88 (0): 141–225. doi:10.1007/BF02392131. ISSN 0001-5962.
^ abcHarnett, Kevin (8 March 2018). "To Test Einstein's Equations, Poke a Black Hole". Quanta Magazine.
^Christodoulou, Demetrios; Klainerman, Sergiu (1993). The global nonlinear stability of the Minkowski space. Princeton mathematical series. Princeton: Princeton university press. ISBN 978-0-691-08777-1.
^Hintz, Peter; Vasy, András (2018). "The global non-linear stability of the Kerr-de Sitter family of black holes". Acta Mathematica. 220 (1): 1–206. arXiv:1606.04014. doi:10.4310/acta.2018.v220.n1.a1. S2CID 119281798.
^Klainerman, Sergiu; Szeftel, Jeremie (2018-12-20). "Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations". arXiv:1711.07597 [gr-qc].
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