Analysis reveals breakdown in perturbation theory for gravitational perturbations in higher-derivative gravity models.
A bstract We consider the linearized perturbations of near-horizon extremal Reissner-Nordström black holes in d -dimensional Einstein-Maxwell-Gauss-Bonnet gravity and seven-dimensional third-order Lovelock gravity. We find the solutions for the gravitational perturbations as a function of the higher-derivative coupling coefficients, which we treat nonperturbatively. Consequently, we observe a breakdown in perturbation theory for large harmonics for the six-derivative corrections.
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Robert J. Saskowski (2025) studied this question.
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