Academic Team
Main Reference:
- Lecture Notes on General Relativity by Daniel Baumann (all sections except Section 7 on Cosmology).
Additional Recommended Books:
- Sean M. Carroll, Spacetime and Geometry
- James Hartle, Gravity
- Bernard Schutz, A First Course in Relativity
- Ray d’Inverno, Introducing Einstein’s Relativity
- M. P. Hobson et al., General Relativity
- Anthony Zee, Einstein Gravity in a Nutshell
- Robert M. Wald, General Relativity
- Steven Weinberg, Gravitation and Cosmology
- P. A. M. Dirac, General Theory of Relativity
- Misner, Thorne & Wheeler, Gravitation
- Eric Poisson & Clifford Will, Gravity
- Yvonne Choquey-Bruhat, Introduction to General Relativity
Course Outline:
- Special Relativity: Lorentz transformations, spacetime, relativistic kinematics and dynamics
- Gravity as Geometry: equivalence principle, curved spacetime
- Differential Geometry basics: manifolds, tensors, metric
- Geodesics: equations, Newtonian limit, applications (Mercury precession, light bending)
- Spacetime Curvature: covariant derivatives, Riemann tensor, geodesic deviation
- Einstein Equations: field equations, matter, cosmological constant, vacuum solutions
- Gravitational Waves: linearized gravity, wave creation
- Black Holes: Schwarzschild, charged, rotating
For more resources, visit Professor Yashar Akrami’s website.