Abstract
It was recently shown that (near-)extremal Kerr black holes are sensitive probes of small higher-derivative corrections to general relativity. In particular, these corrections produce diverging tidal forces on the horizon in the extremal limit. We show that adding a black hole charge makes this effect qualitatively stronger. Higher-derivative corrections to the Kerr-Newman solution produce tidal forces that scale inversely in the black hole temperature. We find that, unlike the Kerr case, for realistic values of the black hole charge large tidal forces can arise before quantum corrections due to the Schwarzian mode become important, so that the near-horizon behavior of the black hole is dictated by higher-derivative terms in the effective theory.
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Acknowledgments
We thank Harvey Reall for suggesting a number of comments and participating in discussions related to sections 6 and 7. G.H. and M.K. were supported in part by NSF Grant PHY-2107939. G.H. was also supported in part by grant NSF PHY-2309135 to the Kavli Institute for Theoretical Physics (KITP). G.N.R. is supported by the James Arthur Postdoctoral Fellowship at New York University. J.E.S. has been partially supported by STFC consolidated grants ST/T000694/1 and ST/X000664/1.
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Horowitz, G.T., Kolanowski, M., Remmen, G.N. et al. Sudden breakdown of effective field theory near cool Kerr-Newman black holes. J. High Energ. Phys. 2024, 122 (2024). https://doi.org/10.1007/JHEP05(2024)122
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DOI: https://doi.org/10.1007/JHEP05(2024)122