The stability of Reissner–Nördstrom black holes with an extremal mass–charge relation was determined by calculating the propagation speed of gravitational waves on this background in an effective field theory (EFT) of gravity. New results for metric components are shown, along with the corresponding new extremal relation, part of which differs by a global factor of 2 from the past published work. This new relation further develops the existing constraints on EFT parameters. The radial propagation speed for gravitational waves in the Regge–Wheeler gauge was calculated linearly for all perturbations, yielding exact luminality for all dimension-4 operators. The dimension-6 radial speed modifications introduce no constraints on the sign of the modified theory parameters from causality arguments, while the deviation from classical theories vanishes at both horizons. The angular speed was found to be altered for the dimension-4 operators, with possible new constraints on the modified theory being suggested from causality arguments. Results are consistent with existing literature on Schwarzschild black hole backgrounds, with some EFT terms becoming active only in non-vacuum spacetimes such as Reissner–Nördstrom black holes.

具有极值质荷关系的赖斯纳-诺德斯特龙黑洞的稳定性是通过计算重力有效场理论（EFT）中引力波在此背景下的传播速度来确定的。显示了度量分量的新结果以及相应的新极值关系，其中部分关系与过去发表的工作的全局系数相差 2。这种新关系进一步发展了对 EFT 参数的现有限制。对于所有扰动，雷格-惠勒规范中引力波的径向传播速度都是线性计算的，从而为所有 4 维算子产生精确的光度。6 维径向速度修改对因果论证中修改后的理论参数的符号没有引入任何限制，而与经典理论的偏差在两个层面上都消失了。发现 4 维算子的角速度发生了变化，并且从因果关系论证中提出了对修改后的理论可能的新约束。结果与史瓦西黑洞背景的现有文献一致，一些 EFT 术语仅在非真空时空中变得活跃，例如赖斯纳-诺德斯特罗姆黑洞。