General Relativity, Spring 2020 (M-I-T)

1. Introduction and the geometric viewpoint on physics. (M-I-T)

10. Spacetime curvature. (M-I-T)

11. More on spacetime curvature. (M-I-T)

12. The Einstein field equation. (M-I-T)

13. The Einstein field equation (variant derivation). (M-I-T)

14. Linearized gravity I: Principles and static limit. (M-I-T)

15. Linearized gravity II: Dynamic sources (M-I-T)

16. Gravitational radiation I (M-I-T)

17. Gravitational radiation II (M-I-T)

18. Cosmology I (M-I-T)

19. Cosmology II (M-I-T)

2. Introduction to tensors. (M-I-T)

20. Spherical compact sources I (M-I-T)

21. Spherical compact sources II (M-I-T)

22. Black holes I (M-I-T)

23. Black holes II (M-I-T)

3. Tensors continued. (M-I-T)

4. Volumes and volume elements; conservation laws. (M-I-T)

5. The stress energy tensor and the Christoffel symbol. (M-I-T)

6. The principle of equivalence. (M-I-T)

7. Principle of equivalence continued; parallel transport. (M-I-T)

8. Lie transport, Killing vectors, tensor densities. (M-I-T)

9. Geodesics. (M-I-T)