In 1963 mathematician Roy Kerr discovered an exact solution to Einstein’s general theory of relativity. The solution known today as the Kerr black hole/Kerr metric describes the spacetime geometry of the vacuum region surrounding a rotating, spherically symmetric massive object such as a black hole. Researchers have been trying to prove mathematically that Kerr black holes are stable for 60 years. If it is unstable, it means that Einstein’s theory of gravity needs to be revised at a fundamental level. Mathematicians Jérémie Szeftel of Sorbonne University in France and Sergiu Klainerman of Princeton University have published an 800-page paper in 2021, a 912-page paper with Elena Giorgi of Columbia University on May 30 this year, plus three more. A background paper, about 2100 pagesin total, proving mathematically that Kerr black holes are stable . The latest results are hailed as a milestone in the development of general relativity mathematics. The 2021 papers have been accepted for publication, but this year’s papers have not yet been peer-reviewed.
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