论文标题
高级一般相对论
Advanced General Relativity Notes
论文作者
论文摘要
这些讲义旨在作为已经熟悉基本一般相对论的研究生读者的指南。他们以简洁的方式表现出一些高级概念和引力研究中遇到的一些高级概念和问题。在这些笔记中涵盖了：Schwarzschild黑洞解决方案的替代形式，包括经典的Kruskal扩展；关于建筑，Carter-Penrose，图表的描述；伯克霍夫定理的讨论；讨论用于测量和一致性的工具，包括能源条件；对视野的讨论和某些奇异定理的方法；探索Kerr黑洞溶液的特性，包括Penrose工艺和黑洞热力学；讨论ECKART和以色列 - 斯图尔特相对论热力学；在相对论，爱因斯坦 - 卡丹理论和纽曼 - 彼得形式主义中讨论四元。汉密尔顿 - 雅各比形式主义的测量学方法的计算阐明；从相对论的顶部运动方程式的最小动作衍生，M.P.D.方程式
These lecture notes are intended as a guide to Graduate level readers that are already familiar with basic General Relativity. They present in a concise way some advanced concepts and problems encountered in the study of gravitation. In these notes are covered: Alternates forms of the Schwarzschild Black Hole solution, including the classic Kruskal extension; An account of the building of Conformal, Carter-Penrose, diagrams; A discussion of Birkhoff Theorem; A discussion of tools for Geodesics and congruences, including Energy Conditions; A discussion of Horizons and an approach to some of the singularity theorems; An exploration of the Kerr Black Hole solution properties, including the Penrose Process and Black Hole Thermodynamics; A discussion of the Eckart and Israel-Stewart Relativistic Thermodynamics; A discussion of Tetrads in Relativity, in Einstein-Cartan theory and in Newman-Penrose formalism; An explicitation of calculations on Geodesics approach from Hamilton-Jacobi Formalism; A derivation from Least action of the equation of Motion of a top in Relativity, the M.P.D. equations
