29 May 2024 | Gary T. Horowitz, Maciej Kolanowski, Grant N. Remmen, Jorge E. Santos
This paper investigates the effects of higher-derivative corrections to the effective field theory (EFT) of the Kerr-Newman black hole, focusing on the behavior of tidal forces near the horizon. The authors show that adding a black hole charge significantly enhances the tidal force divergence as the black hole approaches extremality. Unlike the Kerr case, where tidal forces scale as $1/T$, the Kerr-Newman case exhibits a stronger divergence due to the presence of charge. The study reveals that for realistic black hole charges, tidal forces can become significant before quantum corrections from the Schwarzsian mode become important, indicating that the near-horizon geometry is dominated by higher-derivative terms in the EFT.
The paper analyzes the scaling dimensions of extremal Kerr-Newman black holes and their EFT-corrected versions. It shows that the scaling dimension $\gamma$ is affected by higher-derivative corrections, leading to a stronger singularity at the horizon. The authors derive the EFT-corrected near-horizon geometries and find that the tidal forces scale as $\gamma(\gamma-1)T^{\gamma-2}$, with $\gamma$ being a parameter determined by the equations of motion. For Kerr-Newman black holes, $\gamma = 1$ is shifted by EFT corrections, resulting in a stronger singularity.
The paper also discusses the implications of these results for astrophysical black holes, noting that the EFT corrections are significant only for black holes very close to extremality. The authors conclude that black holes can serve as sensitive probes of new physics, with the Kerr-Newman case exhibiting more dramatic effects than the pure Kerr case. The study highlights the importance of considering higher-derivative corrections in understanding the behavior of black holes in the context of effective field theories.This paper investigates the effects of higher-derivative corrections to the effective field theory (EFT) of the Kerr-Newman black hole, focusing on the behavior of tidal forces near the horizon. The authors show that adding a black hole charge significantly enhances the tidal force divergence as the black hole approaches extremality. Unlike the Kerr case, where tidal forces scale as $1/T$, the Kerr-Newman case exhibits a stronger divergence due to the presence of charge. The study reveals that for realistic black hole charges, tidal forces can become significant before quantum corrections from the Schwarzsian mode become important, indicating that the near-horizon geometry is dominated by higher-derivative terms in the EFT.
The paper analyzes the scaling dimensions of extremal Kerr-Newman black holes and their EFT-corrected versions. It shows that the scaling dimension $\gamma$ is affected by higher-derivative corrections, leading to a stronger singularity at the horizon. The authors derive the EFT-corrected near-horizon geometries and find that the tidal forces scale as $\gamma(\gamma-1)T^{\gamma-2}$, with $\gamma$ being a parameter determined by the equations of motion. For Kerr-Newman black holes, $\gamma = 1$ is shifted by EFT corrections, resulting in a stronger singularity.
The paper also discusses the implications of these results for astrophysical black holes, noting that the EFT corrections are significant only for black holes very close to extremality. The authors conclude that black holes can serve as sensitive probes of new physics, with the Kerr-Newman case exhibiting more dramatic effects than the pure Kerr case. The study highlights the importance of considering higher-derivative corrections in understanding the behavior of black holes in the context of effective field theories.