论文标题
关于二次重力黑洞的线性稳定性的注释
A note on the linear stability of black holes in quadratic gravity
论文作者
论文摘要
$ f（r）$ - 重力中的黑洞是不稳定的，尤其是旋转的孔。特别是，不稳定的发展看起来像经典的黑洞炸弹机制：线性化的爱因斯坦方程的特征是有效的质量，其作用像是对Kerr溶液的大规模标量扰动，在总体相对论中，已知可以产生不稳定性。在本说明中，我们考虑了特殊类别的$ f（r）$重力，具有比例不变的属性。作为原型，我们认为最简单的情况$ f（r）= r^2 $，并表明，与一般情况相反，静态和固定的黑洞至少在线性级别稳定。
Black holes in $f(R)$-gravity are known to be unstable, especially the rotating ones. In particular, an instability develops that looks like the classical black hole bomb mechanism: the linearized modified Einstein equations are characterized by an effective mass that acts like a massive scalar perturbation on the Kerr solution in General Relativity, which is known to yield instabilities. In this note, we consider a special class of $f(R)$ gravity that has the property of being scale-invariant. As a prototype, we consider the simplest case $f(R)=R^2$ and show that, in opposition to the general case, static and stationary black holes are stable, at least at the linear level.
