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A Nonlinear Endpoint of Charged Horizon Instabilities

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If you have a question about this talk, please contact Lorenzo Gavassino .

Extremal black holes are known to develop a horizon instability in the presence of scalar matter. In this talk, I will discuss how this picture extends to charged perturbations, where the nonlinearities of both Maxwell’s equations and Einstein’s equations lead to qualitatively new behavior. In particular, I will give numerical evidence that dynamical extremal black holes act as universal threshold solutions of the Einstein-Maxwell-scalar field system. These threshold solutions can be understood from the perspective of critical phenomena, with horizon instabilities emerging in the appropriate limit. I will then present numerical results on the existence of arbitrarily large curvatures in the (near-)extremal interior. This curvature may be visible from future null infinity in spacetimes without a black hole region. Based on arXiv:2602.11256.

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

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