Extreme Black Holes: Anabasis and Accidental Symmetry

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• Achilleas Porfyriadis (University of Crete)
• Friday 25 November 2022, 13:00-14:00
• Potter room/Zoom.

If you have a question about this talk, please contact Prahar Mitra.

The near-horizon region of black holes near extremality is universally AdS2-like. In this talk I will concentrate on the simplest example of AdS2 x S2 as the near-horizon of (near-)extreme Reissner-Nordstrom. I will first explain the SL(2) transformation properties of the spherically symmetric linear perturbations of AdS2 x S2 and show how their backreaction leads to the Reissner-Nordstrom black hole. This backreaction with boundary condition change is called an anabasis. I will then show that the linear Einstein equation near AdS2 x S2, with or without additional matter, enjoys an accidental symmetry that may be thought of as an on-shell large diffeomorphism of AdS2.

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

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