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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