Carrol S. Lecture Notes on General Relativity

Santa Barbara: Institute for Theoretical Physics University of California, 1997. — 238 p.These notes represent approximately one semester's worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein's equations, and three applications: gravitational radiation, black holes, and cosmology. Individual chapters, and potentially updated versions, can be found at http://itp.ucsb. edu/-carroll/notes/.Special Relativity and Flat Spacetime
Manifolds
Curvature
Gravitation
More Geometry
Weak Fields and Gravitational Radiation
The Schwarzschild Solution and Black Holes
Cosmology