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
- twentieth/twenty-first cosmology is one of the main applications of general relativity
- General relativity
- Introduction to general relativity
- Inveiling the breakdown of Euclidean geometry in linearized 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.