Third law of black hole mechanics for supersymmetric black holes

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• Harvey Reall, DAMTP, Cambridge
• Friday 14 February 2025, 13:00-14:00
• Potter room/Zoom: https://cam-ac-uk.zoom.us/j/86544434784?pwd=dE3XiqwmaWGPz9w5pXNkKk93XsmtJv.1.

If you have a question about this talk, please contact Xi Tong.

The third law of black hole mechanics asserts that it is impossible for a non-extremal black hole to become extremal in finite time (in classical General Relativity). A proof of this law was claimed in the 1980s. However, counterexamples to this law were found recently: gravitational collapse of a massless charged scalar field can produce an exactly extremal Reissner-Nordstrom black hole in finite time, passing through an intermediate phase in which the solution is exactly Schwarzschild at the horizon. These examples involve matter with a large charge to mass ratio. What about theories, such as supersymmetric theories, with an upper bound on the charge to mass ratio of matter? In this case I have proved that one cannot form a supersymmetric black hole (such as extremal Reissner-Nordstrom) in finite time. Thus a third law holds for supersymmetric black holes. The proof involves ideas related to quasi-local energy. In this talk I shall review all of these developments.

This talk is part of the DAMTP Friday GR Seminar series.

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