General relativity (GR) is an advanced topic within the department of Astrophysics and requires a high level of knowledge in calculus, algebra and physics in general. Tensor fields are a critical part of general relativity.
- Topic:Special relativity (SR) - the spacetimes of GR have the spacetime of SR as a limiting case at a point in spacetime, so you must first understand SR
- Topic:Differential geometry - you need to understand tensors, tensor fields and differential geometry in general in order to understand GR; elements of these are frequently taught within a GR course as an alternative to a full differential geometry course
- Special relativity and steps towards general relativity (shortcut: SRepsilonGR)
- this course includes a few elements towards elementary general relativity
Learning materials and learning projects can be used by multiple departments. Cooperate with other departments that use the same learning resource.
Relevant topics: Covariance, Vectors/ Fields, Tensor Calculus, Euler-Lagrange equations, Equivalence principle, Curvature, Riemann Tensor, Gravitational Waves
External learning resources
- The website for a GR class taught at Caltech by Kip Thorne and Lee Lindblom. Contains problems, solutions and some lecture notes. 
- The first of a sequence of videos of lectures of an "Introduction to General Relativity" class taught by Kip Thorne. 
- "Lecture Notes on General Relativity" by Sean Carroll. Coincidentally the basis for his book. 
- The General Relativity Tutorial, John Baez: online tutorials and reading list.