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

• 1. Introduction and the geometric viewpoint on physics. (M-I-T)
• 2. Introduction to tensors. (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)
• 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)
• 21. Spherical compact sources II (M-I-T)
• 22. Black holes I (M-I-T)
• 23. Black holes II (M-I-T)