廣義相對論 [An Introduction to Riemannian Geomery] Leonor Godinho . Jose Natario

Introduction                                                      [General Relativity :An Introduction for Physicists]

6.1 Galileo Spacetime

6.2 Special Relativity                                         Electromagnetism(電磁學)

6.3 The Cartan Connection

      The equivalence principle and spacetime curvature  [John Ligton Synge 1897~1995)

      Minimal Coupling Principle

6.4 General Relativity                                        The gravitational field equations

6.5 The Schwarzschild Solution  black hole       The Schwarzschild geometry

6.6 Cosmology (Friedmann-Lemaitre-Robertson-Walker)   Schwarzschild black holes      Further spherically symmetric geometries

      Cosmological models      Inflationary cosmology

6.7 Causality (causal structure of a Lorentz manifold)       The Kerr geometry

      Gravitational waves      A variational approach to general relativity

6.8 Hawking Singularity Theorem

6.9 Penrose Singularity Theorem

1. The Geometry of Spacetime                    James J.Callahan 這裡的幾何部份值得複習一下
2. General Relativity for Mathematicans      Rainer K.Sachs   Hung-Hsi Wu(伍鴻熙)
3. General Relativity :An Introduction for Physicists      Michael.P.Hobson  Geoerge.P.Efstathiou  Anthony.N.Lasenby
4. Lecture Notes on General Relativity        Matthias Blau
5. Unsolved Problems                                 Florentin Smarandache   Fu Yuhua  Zhao Feng-Juan
6. 物理學家用微分幾何                           侯伯元 侯伯宇
7. Differential Geometry in Physics             Gabriel Lugo
8. 曹則賢先生推薦 相對論的書
1. Einstein的論文
2. Einstein's Relativity                 Max Born            1882~1970
3. Space-time and Matter             Hermann Weyl    1885~1955
4. General Theory of Relativity   Paul A.M. Dirac   1902~1984
5. Gravitation and Cosmology     Steven Weinberg 1933~2021
6. General Relativity                    Robert Wald        1947~
7. Spacetime and Geometry          Sean M. Carroll   1966~
8. 相對論(少年版)                      

1. [何謂廣義相對論] (原文) [Problems of gravity]
2. 廣義相對論中的純量曲率      正質量定理      廣義相對論中的量子效應
3.  張海潮先生
   (1)水星近日點進動(precession of perihelion) 參考書目(5)第一篇 Hau Di 先生稱愛因斯坦有計算上的錯誤
   The Precession of Perihelon of Mercury
   (2)光經過太陽的偏折角度  
   (3)紅位移(redshift)
   (4)狹義相對論
4. 丘成桐先生   (1)時空幾何與廣義相對論中的質量  (2)廣義相對論中數學]  (3) [Calabi conjecture]
5. 曲面幾何與廣義相對論(王慕道)

[Einstein Relatively Easy]   [Space]   [Profound Physics]   [盧昌海]   [曹則賢]   [蟲洞研究]

重力場方程

Hermann Weyl 引入規範場論(gauge theory)

廣義相對論中的質量:

孤立物理系統的質量是否為正，是廣義相對論的一個重要問題。如果質量不恆為正，系統會變得不穩定，而廣義相對論的正確性也變得難以確保。

重力輻射      事件視界望遠鏡 EHT(event horizon telescope)