标题： 极端黑洞的视界不稳定性 显示英文标题

标题： Horizon Instability of Extremal Black Holes

摘要： 我们证明了轴对称的极端视界在标量线性扰动下是不稳定的。具体来说，我们证明了波方程一般解的平移不变导数在这样的视界上不会随着推进时间趋于无穷而衰减，并且实际上高阶导数会发散。这一结果特别适用于极端克尔-纽曼和Majumdar-Papapetrou时空，并且与次极端情况形成鲜明对比，在次极端情况下，所有沿事件视界的导数已知都会衰减。 显示英文摘要

摘要： We show that axisymmetric extremal horizons are unstable under linear scalar perturbations. Specifically, we show that translation invariant derivatives of generic solutions to the wave equation do not decay along such horizons as advanced time tends to infinity, and in fact, higher order derivatives blow up. This result holds in particular for extremal Kerr-Newman and Majumdar-Papapetrou spacetimes and is in stark contrast with the subextremal case for which decay is known for all derivatives along the event horizon.