Spiegelgasse 5, Seminarraum 05.002

## Seminar Analysis and Mathematical Physics: Christoph Kehle (ETH Zürich)

**The third law of black hole thermodynamics and the black hole formation threshold**

Extremal black holes are special types of black holes which have exactly zero temperature. I will present a proof that extremal black holes form in finite time in gravitational collapse of charged matter. In particular, this construction provides a definitive disproof of the “third law” of black hole thermodynamics. I will also present a recent result which shows that extremal black holes arise on the black hole formation threshold in the moduli space of gravitational collapse. This gives rise to a new conjectural picture of “extremal critical collapse.” This is joint work with Ryan Unger (Princeton).

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