Stable black holes: in vacuum and beyond
Stable black holes: in vacuum and beyond
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DOI：
10.1090/bull/1781
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发表时间：
2022-09
影响因子：
1.3
通讯作者：
Elena Giorgi
中科院分区：
文献类型：
--
作者：
Elena Giorgi
黑洞是我们理解宇宙的重要对象，因为它们代表了广义相对论的极端性质。它们背后的数学具有令人惊讶的几何性质，它们的动力学由双曲型偏微分方程控制。人们可能会问的一个基本问题是，爱因斯坦方程的这些解在小扰动下是否稳定，这是一个具有物理意义的典型要求。我们说明了已知黑洞解的稳定性问题的主要定理，并提出了一些最近的定理，在真空的情况下，黑洞的完全非线性演化及其与物质场的相互作用。
Black holes are important objects in our understanding of the universe, as they represent the extreme nature of General Relativity. The mathematics behind them has surprising geometric properties, and their dynamics is governed by hyperbolic partial differential equations. A basic question one may ask is whether these solutions to the Einstein equation are stable under small perturbations, which is a typical requirement to be physically meaningful. We illustrate the main conjectures regarding the stability problem of known black hole solutions and present some recent theorems regarding the fully nonlinear evolution of black holes in the case of vacuum and their interaction with matter fields.