Recent studies on extremal black holes within effective field theories (EFT) of gravity have revealed an intriguing phenomenon: tidal forces near the horizon experience significant enhancement due to EFT corrections, potentially leading to a breakdown of the EFT framework. In this work, we investigate this effect in a two-black-hole Majumdar-Papapetrou spacetime modified by four-derivative EFT correction terms. Our analysis shows that while the scaling exponents, which measure the strength of the tidal forces near the horizon, remain unchanged under EFT corrections in $D=4$, they decrease for higher dimensions, enhancing the near-horizon tidal forces. However, even in the presence of EFT corrections, these scaling exponents stay well behaved and no such cases arise where the two-derivative contributions vanish and only the higher-derivative terms contribute. We find an expression for the EFT corrections to the scaling exponents till $D\le 10$ and demonstrate that the metric corrections can be structured such that only the near-horizon ${\mathrm{AdS}}_2$ throat undergoes angle-dependent modifications, while the transverse $S^{D-2}$ sector remains unaffected.

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• Alternative gravity theories
• Classical black holes
• Gravity in dimensions other than four