发表机构
Chulalongkorn University; Kyoto University; Ramkhamhaeng University; Waseda University; Naresuan University（朱拉隆功大学; 京都大学; 兰甘亨大学; 早稻田大学; 纳瑞宣大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究推导了一般GLPV理论中带静态标量毛黑洞的微扰与稳定性相关方程，确定了保证稳定的相容性条件，构造了标量-高斯-博内黑洞的超越Horndeski形变并分析了其稳定性。
AI 中文摘要
我们推导了一般四次-五次Gleyzes-Langlois-Piazza-Vernizzi（GLPV）理论（包括Horndeski理论）中，带有径向标量毛的静态球对称黑洞的背景方程以及完整的奇宇称和偶宇称二次作用量。在正则非简并分支上，该公式适用于Killing视界，并给出了局部无鬼条件以及径向和角向程函特征。两种宇称扇区的张量模具有相同的平方径向速度。当径向坐标为类时坐标时，普遍的反对称混合会诱导偶宇称角分支出现非标准的大多极标度。要求两个分支具有有限且非零的程函相速度，可选择出四次和五次超越Horndeski函数之间与Horndeski相关的相容性条件。该条件使协变简并方向对齐，且当正则可逆时，允许进行局部形变映射到Horndeski理论。对于视界处有限且非零的标量动能项，精确二次GLPV黑洞的每个非平凡分支要么局部不稳定，要么在简单外视界附近具有简并张量锥。除已识别的例外情况外，该阻碍延伸到一般位移和反射对称的二次GLPV理论以及四次-五次类中与Horndeski相关的正则分支。最后，对于视界标量动能项为零的标量-高斯-博内黑洞，我们构造了解析幂律四次超越Horndeski形变，其关联的五次函数由相同条件确定。在耦合足够小时，外部区域满足所有局部无鬼和高频梯度稳定条件；对于线性高斯-博内耦合，我们估计了一个内部尺度，低于该尺度时背景和稳定性展开会失去微扰控制，但这并不意味着存在物理不稳定性。
英文摘要
We derive the background equations and complete odd- and even-parity quadratic actions for static, spherically symmetric black holes with radial scalar hair in general quartic-quintic Gleyzes-Langlois-Piazza-Vernizzi (GLPV) theories, including Horndeski. On regular, nondegenerate branches, the formulation applies across Killing horizons and yields local no-ghost conditions and radial and angular eikonal characteristics. Tensor modes in both parity sectors share the same squared radial speed. When the radial coordinate is timelike, generic antisymmetric mixing induces nonstandard large-multipole scaling for both even-parity angular branches. Requiring both branches to have finite, nonzero eikonal phase speeds selects the Horndeski-related compatibility condition between the quartic and quintic beyond-Horndeski functions. This condition aligns the covariant degeneracy directions and permits a local disformal map to Horndeski when regular and invertible. For a finite, nonzero scalar kinetic term at the horizon, every nontrivial branch of the exact quadratic GLPV black hole is locally unstable or has a degenerate tensor cone near a simple outer horizon. Apart from identified exceptions, this obstruction extends to general shift- and reflection-symmetric quadratic GLPV theories and the regular Horndeski-related branch of the quartic-quintic class. Finally, for scalar-Gauss-Bonnet black holes with a vanishing horizon scalar kinetic term, we construct analytic power-law quartic beyond-Horndeski deformations whose associated quintic function is fixed by the same condition. At sufficiently small coupling, all local no-ghost and high-frequency gradient-stability conditions hold throughout the exterior. For a linear Gauss-Bonnet coupling, we estimate an interior scale below which the background and stability expansions lose perturbative control; this does not imply a physical instability.
Comments44 pages, no figures
