AI 中文总结
研究非最小耦合标量 - 张量模型中规则黑洞稳定性，通过近视界近似解析得到临界耦合常数表达式，经数值分析验证，还表明临界耦合时准正则频率实部消失，恢复了球形黑洞面积量子化且与模型无关。
AI 中文摘要
在本文中，我们表明，当微扰置于两个非最小耦合标量 - 张量模型中耦合常数的某些临界值时，特别是对于一些规则黑洞，黑洞稳定性的稳健性无法保持。通过在近视界近似下的解析论证，我们得到了两个模型中会发生不稳定性的临界耦合常数的精确表达式。数值分析表明，这些临界值与场微扰时域轮廓中的阈值点一致。在该阈值处，Regge - Wheeler 方程的有效势恰好在事件视界位置呈现极值。我们还表明，在临界耦合常数下，近视界区域的准正则频率实部消失——最近被称为纯虚模式。最后，我们在不调用高阻尼模式近似的情况下恢复了临界耦合时球形黑洞的一般面积量子化，且结果与特定耦合模型无关。
英文摘要
In this paper, we show that the robustness of black hole stability is not preserved when perturbations are subjected to critical values of the coupling constant in two non-minimally coupled scalar-tensor models, particularly for several regular black holes. Our main result is the derivation of a general near-horizon analytical criterion for the onset of instability, which yields analytical expressions for the critical coupling constants in both coupling models. Numerical time-domain analysis shows that these critical values are coincident with the threshold points of the field perturbation profiles. At the critical coupling, the effective potential of the Regge-Wheeler equation develops an extremum exactly at the location of event horizon. We further show that, in the near-horizon regime, the real parts of the quasi-normal frequencies vanish, giving rise to purely imaginary modes. Finally, we recover the universal area quantization of spherically symmetric black holes at the critical coupling without resorting to the highly damped-mode approximation, and show that the result is independent of the particular non-minimal coupling model.
Comments20pages, 7 figures, the submitted version
