Existence of quasinormal modes for Kerr-AdS black holes

Kerr黑洞的准正规模式

Quasinormal modes for the Kerr black hole

本文通过结合复标度与微局部分析方法，严格定义Kerr黑洞的准正规模式，并证明其高能谱隙存在且不会在零能量处累积。

A global definition of quasinormal modes for Kerr-AdS Black Holes

The quasinormal frequencies of massive scalar fields on Kerr-AdS black holes are identified with poles of a certain meromorphic family of operators, once boundary conditions are specified at the conformal boundary. Consequently, the quasinormal frequencies form a discrete subset of the complex plane and the corresponding poles are of finite rank. This result holds for a broad class of elliptic boundary conditions, with no restrictions on the rotation speed of the black hole.

Mode stability and shallow quasinormal modes of Kerr-de Sitter black holes away from extremality

A Kerr-de Sitter black hole is a solution $(M,g_{Λ,\mathfrak{m},\mathfrak{a}})$ of the Einstein vacuum equations with cosmological constant $Λ>0$. It describes a black hole with mass $\mathfrak{m}>0$ and specific angular momentum $\mathfrak{a}\in\mathbb{R}$. We show that for any $ε>0$ there exists $δ>0$ so that mode stability holds for the linear scalar wave equation $\Box_{g_{Λ,\mathfrak{m},\mathfrak{a}}}ϕ=0$ when $|\mathfrak{a}/\mathfrak{m}|\in[0,1-ε]$ and $Λ\mathfrak{m}^2<δ$. In fact, we show that all quasinormal modes $σ$ in any fixed half space $\Imσ>-C\sqrtΛ$ are equal to $0$ or $-i\sqrt…

Kerr 与 Kerr-de Sitter 时空中拟正规模的解析性

Analyticity of quasinormal modes in the Kerr and Kerr-de Sitter spacetimes

该研究证明亚极端Kerr与Kerr-de Sitter时空中线性波动方程拟正规模的实解析性，通过发现相关双特征流的稳定径向点源/汇结构，结合微局部分析结果完成推导，结果可适配标准Killing向量场。

Kerr时空上的准正规模式

Quasinormal modes on Kerr spacetimes

本文在次极值Kerr时空上建立严格框架，将准正规模式定义为时间平移生成元的孤立特征值，并给出Kerr–de Sitter的一致预解式估计、截断预解式亚纯延拓及准正规频率的稳定性与收敛性结果。

从高频赤道 quasi-normal 模式实现 Kerr-de Sitter 参数的定量局部恢复

Quantitative local recovery of Kerr-de Sitter parameters from high-frequency equatorial quasinormal modes

本文通过高频赤道 quasi-normal 模式实现 Kerr-de Sitter 参数的定量局部恢复，利用角动量指数和二级修正，证明了质量、旋转参数和宇宙学常数的逆定理。