Black hole gluing in de Sitter space

将带电黑洞粘合进德西特空间

Gluing charged black holes into de Sitter space

本文将Hintz的黑洞粘合方法推广到爱因斯坦-麦克斯韦系统，把多个带电黑洞粘入德西特空间共形边界，给出基于Friedrich共形约束方程的充要条件，并改进构造方法以省去早期规范固定。

Gluing small black holes into initial data sets

We prove a strong localized gluing result for the general relativistic constraint equations (with or without cosmological constant) in $n\geq 3$ spatial dimensions. We glue an $ε$-rescaling of an asymptotically flat data set $(\hatγ,\hat k)$ into the neighborhood of a point $\mathfrak{p}\in X$ inside of another initial data set $(X,γ,k)$, under a local genericity condition (non-existence of KIDs) near $\mathfrak{p}$. As the scaling parameter $ε$ tends to $0$, the rescalings $\frac{x}ε$ of normal coordinates $x$ on $X$ around $\mathfrak{p}$ become asymptotically flat coordinates on the asymptot…

真空中的事件视界粘合与黑洞形成：极慢旋转情形

Event horizon gluing and black hole formation in vacuum: the very slowly rotating case

本文研究真空爱因斯坦方程中的特征事件视界粘合问题，证明闵可夫斯基空间可粘合到史瓦西黑洞及极慢旋转 Kerr 黑洞事件视界，并由此构造出有限时间内真空引力坍缩形成极慢旋转 Kerr 黑洞及类空奇点的首个例子。

Quasi-normal modes for Dirac fields in Kerr-Newman-de Sitter black holes

We provide the full asymptotic description of the quasi-normal modes (resonances) in any strip of fixed width for Dirac fields in slowly rotating Kerr-Newman-de Sitter black holes. The resonances split in a way similar to the Zeeman effect. The method is based on the extension to Dirac operators of techniques applied by Dyatlov 2011, 2012 to the (uncharged) Kerr-de Sitter black holes. We show that the mass of the Dirac field does not have effect on the two leading terms in the expansions of resonances.

沿类时测地线粘合小黑洞 III：真实解的构造与极端质量比并合

Gluing small black holes along timelike geodesics III: construction of true solutions and extreme mass ratio mergers

该研究作为系列工作的第三部分，通过修正近似解构造出沿类时测地线运动的小质量Kerr黑洞的爱因斯坦方程真实解，并将其应用于极端质量比黑洞并合的时空建模。

A Positive-Definite Energy Functional for Axially Symmetric Maxwell's Equations on Kerr-de Sitter Black Hole Spacetimes

We prove that there exists a phase space of canonical variables for the initial value problem for axially symmetric Maxwell fields propagating in Kerr-de Sitter black hole spacetimes such that their motion is restricted to the level sets of a positive-definite Hamiltonian, despite the ergo-region.