Symmetries and topology of extremal horizons

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• Alex Colling, DAMTP
• Friday 07 March 2025, 13:00-14:00
• Potter room / https://cam-ac-uk.zoom.us/j/87235967698.

If you have a question about this talk, please contact Daniela Cors.

We establish an intrinsic rigidity theorem for extremal horizons, showing that a compact cross-section of a rotating extremal horizon must admit a Killing vector field. This result holds for a wide class of matter theories, extending work by Dunajski and Lucietti in the vacuum case. In four-dimensional Einstein-Maxwell theory, it follows that any non-trivial cross-section must be given by the extremal Kerr-Newman family. We also discuss the implications for the near-horizon geometry and the topology of cross-sections. This talk is partly based on joint work with David Katona and James Lucietti.

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

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