二次引力中球对称黑洞的不稳定性
Instability of spherically-symmetric black holes in Quadratic Gravity
AI总结：
本文研究了二次引力中球对称黑洞的线性稳定性，发现Schwarzschild与非Schwarzschild分支在临界视界半径以下均存在长波长不稳定性，表明经典微扰为视界半径设定了下限。
AI中文摘要：
我们研究了二次引力中两个已知球对称黑洞分支的线性稳定性。我们将Schwarzschild分支的长波长（Gregory-Laflamme）不稳定性研究扩展到非Schwarzschild分支的相应长波长不稳定性。在两种情况下，不稳定性均在两个黑洞分支相交的临界视界半径以下出现。这表明经典微扰对二次引力中球对称黑洞的视界半径施加了下限。
英文摘要：
We investigate the linear stability of the two known branches of spherically-symmetric black holes in Quadratic Gravity. We extend previous work on the long-wavelength (Gregory-Laflamme) instability of the Schwarzschild branch to a corresponding long-wavelength instability in the non-Schwarzschild branch. In both cases, the instability sets in below a critical horizon radius at which the two black-hole branches intersect. This suggests that classical perturbations enforce a lower bound on the horizon radius of spherically-symmetric black holes in Quadratic Gravity.
