Extremal critical collapse conjecture
Extremal critical collapse conjecture
Let be a moduli space of Cauchy data on for a matter-model and symmetry-class combination in which an exact extremal Kerr--Newman event horizon can form in finite time. An interpolating family is a continuous family with and ; its critical parameter is . Extremal critical collapse conjecture. There exist data producing an exactly extremal Kerr--Newman event horizon after a stationary subextremal apparent horizon, with the event horizon absent from the initial Cauchy hypersurface; there exist interpolating families whose critical solution forms an asymptotically extremal Kerr--Newman black hole; near such a critical solution, the threshold has the stated Kerr--Newman structure, scaling laws, and horizon instabilities. This conjecture was disproved according to the supplied status evidence.
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Sources & referencesView supporting material
Primary source
Yannis Angelopoulos, Christoph Kehle and Ryan Unger, “The moduli space of dynamical spherically symmetric black hole spacetimes and the extremal threshold”, arXiv:2603.10378 (2026).
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