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12. The Einstein field equation.
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Classroom Contents
General Relativity
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- 1 1. Introduction and the geometric viewpoint on physics.
- 2 2. Introduction to tensors.
- 3 3. Tensors continued.
- 4 4. Volumes and volume elements; conservation laws.
- 5 5. The stress energy tensor and the Christoffel symbol.
- 6 6. The principle of equivalence.
- 7 7. Principle of equivalence continued; parallel transport.
- 8 8. Lie transport, Killing vectors, tensor densities.
- 9 9. Geodesics.
- 10 10. Spacetime curvature.
- 11 11. More on spacetime curvature.
- 12 12. The Einstein field equation.
- 13 13. The Einstein field equation (variant derivation).
- 14 14. Linearized gravity I: Principles and static limit.
- 15 15. Linearized gravity II: Dynamic sources
- 16 16. Gravitational radiation I
- 17 17. Gravitational radiation II
- 18 18. Cosmology I
- 19 19. Cosmology II
- 20 20. Spherical compact sources I
- 21 21. Spherical compact sources II
- 22 22. Black holes I
- 23 23. Black holes II
