论文标题
正规化的四维爱因斯坦 - 加斯 - 鲍尼斯重力中的毛茸茸的黑洞不稳定
Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity
论文作者
论文摘要
在正则化的4维爱因斯坦 - 加斯 - 邦网（EGB）重力中，源自较高维的EGB理论的Kaluza-Klein还原，我们研究了黑洞（BH）溶液在静态和球形对称背景上的存在和稳定性。我们表明，用于空间上的最大对称内部空间实现的渐近燃料毛茸茸的BH溶液对于任何重新固定的GB耦合常数而言是不稳定的。在事件范围和空间无穷大的附近，这种不稳定性对于偶数扰动的角度传播都存在。与偶数扰动的动力学术语有关的术语也存在一个强烈的耦合问题。
In regularized 4-dimensional Einstein-Gauss-Bonnet (EGB) gravity derived from a Kaluza-Klein reduction of higher-dimensional EGB theory, we study the existence and stability of black hole (BH) solutions on a static and spherically symmetric background. We show that asymptotically-flat hairy BH solutions realized for a spatially-flat maximally symmetric internal space are unstable against linear perturbations for any rescaled GB coupling constant. This instability is present for the angular propagation of even-parity perturbations both in the vicinity of an event horizon and at spatial infinity. There is also a strong coupling problem associated with the kinetic term of even-parity perturbations vanishing everywhere.
