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Caltech

Analysis Seminar

Wednesday, February 5, 2025
3:00pm to 4:00pm
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Linde Hall 187
Extremal black hole formation as a critical phenomenon
Ryan Unger, Department of Mathematics, Stanford University,

Extremal black holes are special solutions of Einstein's equations which have absolute zero temperature in the thermodynamic analogy of black hole mechanics. In this talk, I will present a proof that extremal black holes arise on the critical threshold between dispersion and gravitational collapse. This constitutes the first rigorous result on the black hole formation threshold in general relativity. This is based on joint work with Christoph Kehle (MIT).

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.