Special and general relativity
Special relativity
Gourgoulhon, Special relativity in general frames
Naber, The geometry of Minkowski spacetime
Relevant mathematics:
- Linear and multi-linear algebra and tensor calculus
- Quadratic forms and quadratic spaces
- Affine spaces
- Lie groups and Lie algebras
- Basic theory of linear PDEs
General relativity
Wald, General relativity
Kriele, Spacetime
Weinberg, Gravitation and cosmology
Straumann, General relativity
Hawking and Ellis, The large scale structure of space-time
Joshi, Gravitational collapse and spacetime singularities
Poisson, A relativist's toolkit
Choquet-Bruhat, General Relativity and the Einstein Equations
Online resources:
Luca Bombelli's list of topics and references
Relevant mathematics: