论文标题
标量 - 高斯 - 骨网的径向扰动，超出自发标量的黑洞
Radial perturbations of scalar-Gauss-Bonnet black holes beyond spontaneous scalarization
论文作者
论文摘要
标量 - 高斯 - 邦纳特（SGB）重力中黑洞的自发标量是一种非常有趣的现象，允许黑洞绕开无头发定理并获得标量的头发，同时留下理论的弱场状态，实际上未被改变。最近表明，如果我们允许标量场和高斯河网不变之间的不同形式的耦合，则可以超出标准标量的新型标量，只能非线性地激发。在这种情况下，黑洞解决方案的光谱可能更复杂，自然会打开有关其稳定性的问题。本文的目的是研究这个问题，包括可能丧失径向扰动方程的双曲线。我们表明，对于足够大的黑洞质量，Schwarzschild黑洞的非线性标量阶段之一可能是稳定的和双曲线的。这些结果确立了研究的毛茸茸的黑洞作为可行的天体物理候选者。
Spontaneous scalarization of black holes in scalar-Gauss-Bonnet (sGB) gravity is a very interesting phenomenon allowing black holes to circumvent the no-hair theorem and acquire scalar hair while leaving the weak field regime of the theory practically unaltered. It was recently shown that if we allow for a different form of the coupling between the scalar field and the Gauss-Bonnet invariant, a new type of scalarization is possible beyond the standard one that can be excited only nonlinearly. In this case the spectrum of black hole solutions can be more complicated, naturally opening the question about their stability. The goal of the present paper is to study this question including the possible loss of hyperbolicity of the radial perturbation equation. We show that one of the nonlinearly scalarized phases of the Schwarzschild black hole can be stable and hyperbolic for large enough black hole masses. These results establish the studied hairy black holes as viable astrophysical candidates.
