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arXiv · 2509.07058

Impact of quantum gravity on the UV sensitivity of extremal black holes

Francesco Del Porro·Francesco Ferrarin·Alessia Platania
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Abstract

Recent work has revealed that extremal Kerr black holes may exhibit a sensitivity to higher-derivative corrections to Einstein's equations, displaying singularities in the tidal forces at the horizon. However, in a purely gravitational context, this "ultraviolet sensitivity" translates into a strong dependence on the Wilson coefficients in the low-energy effective field theory. These, in turn, are fixed by the underlying theory of quantum gravity in the ultraviolet. We find a prediction for these coefficients within the framework of asymptotically safe quantum gravity, and show that, if the quantum gravity scale is trans-Planckian, this horizon-scale ultraviolet sensitivity is avoided.

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Francesco Del Porro, Francesco Ferrarin, Alessia Platania. 2025-09-08. Impact of quantum gravity on the UV sensitivity of extremal black holes. https://doi.org/10.1002/prop.70101

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