论文标题
重力波完全，非线性一般相对论
Gravitational Waves in Full, Non-Linear General Relativity
论文作者
论文摘要
这些注释提供了对重力波的理论的介绍，以完全非线性的一般相对论（GR）。我们的目的是在身体直觉和数学严格之间保持平衡，并涵盖主题，例如纽曼 - 普通式形式，电磁波，渐近上的minkowski spaceTime，earing定理，无效无穷度的通用结构，bondi-metzner-sachs群的无限型结构，以及在linear中的辐射模式的定义，以及不属于不属于的辐射模式。许多练习和一些明确计算的示例补充了抽象理论，旨在帮助学生建立直觉并查看工作中的数学机械。
These notes provide a student-friendly introduction to the theory of gravitational waves in full, non-linear general relativity (GR). We aim for a balance between physical intuition and mathematical rigor and cover topics such as the Newman-Penrose formalism, electromagnetic waves, asymptotically Minkowski spacetimes, the peeling theorem, the universal structure of null infinity, the Bondi-Metzner-Sachs group, and the definition of radiative modes in linear as well as in non-linear GR. Many exercises and some explicitly calculated examples complement the abstract theory and are designed to help students build up their intuition and see the mathematical machinery at work.
