论文标题
热，冷和秃头爱因斯坦 - 马克斯韦 - 斯卡尔黑洞
Quasinormal modes of hot, cold and bald Einstein-Maxwell-scalar black holes
论文作者
论文摘要
Einstein-Maxwell-Scalar模型允许不同类别的黑洞溶液，具体取决于标量场和麦克斯韦不变性之间使用的非最小耦合函数$ f（ϕ）$。在这里，我们解决了最近为四耦合函数获得的黑洞解决方案的线性模式稳定性，$ f（ϕ）= 1+αϕ^4 $ [1]。除了秃头的Reissner-Nordström解决方案外，这种耦合还允许两个标量的黑洞分别称为冷和热。对于黑洞的这三个分支，我们计算了准模式的光谱。它由极性标量指导的模式，极性和轴向电磁模式以及极性和轴向重力指导模式组成。我们证明，存在的唯一不稳定模式是冷分支的径向标量指定模式。因此，秃头的Reissner-Nordström分支和热标量分支都是模式稳定的。标量背景解决方案中的非平凡标量场导致Reissner-Nordström溶液中存在的轴向和极性模式之间的堕落性破裂。此等光谱仅在寒冷的分支上略有破损，但在热的分支上被强烈折断。
Einstein-Maxwell-scalar models allow for different classes of black hole solutions, depending on the non-minimal coupling function $f(ϕ)$ employed, between the scalar field and the Maxwell invariant. Here, we address the linear mode stability of the black hole solutions obtained recently for a quartic coupling function, $f(ϕ)=1+αϕ^4$ [1]. Besides the bald Reissner-Nordström solutions, this coupling allows for two branches of scalarized black holes, termed cold and hot, respectively. For these three branches of black holes we calculate the spectrum of quasinormal modes. It consists of polar scalar-led modes, polar and axial electromagnetic-led modes, and polar and axial gravitational-led modes. We demonstrate that the only unstable mode present is the radial scalar-led mode of the cold branch. Consequently, the bald Reissner-Nordström branch and the hot scalarized branch are both mode-stable. The non-trivial scalar field in the scalarized background solutions leads to the breaking of the degeneracy between axial and polar modes present for Reissner-Nordström solutions. This isospectrality is only slightly broken on the cold branch, but it is strongly broken on the hot branch.
