MIT 8.962 General Relativity, Spring 2020 (English)

   Wednesday, December 04, 2024   

Starting a new Lecture Notes Series on MIT 8.962 General Relativity, Spring 2020

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MIT 8.962 General Relativity, Spring 2020 By Lecture Notes together!

Lecture 1: 1. Introduction and the geometric viewpoint on physics.

Lecture 2: 2. Introduction to tensors.

Lecture 3: 3. Tensors continued.

Lecture 4: 4. Volumes and volume elements; conservation laws.

Lecture 5: 5. The stress energy tensor and the Christoffel symbol.

Lecture 6: 6. The principle of equivalence.

Lecture 7: 7. Principle of equivalence continued; parallel transport.

Lecture 8: 8. Lie transport, Killing vectors, tensor densities.

Lecture 9: 9. Geodesics.

Lecture 10: 10. Spacetime curvature.

Lecture 11: 11. More on spacetime curvature.

Lecture 12: 12. The Einstein field equation.

Lecture 13: 13. The Einstein field equation (variant derivation).

Lecture 14: 14. Linearized gravity I: Principles and static limit.

Lecture 15: 15. Linearized gravity II: Dynamic sources

Lecture 16: 16. Gravitational radiation I

Lecture 17: 17. Gravitational radiation II

Lecture 18: 18. Cosmology I

Lecture 19: 19. Cosmology II

Lecture 20: 20. Spherical compact sources I

Lecture 21: 21. Spherical compact sources II

Lecture 22: 22. Black holes I

Lecture 23: 23. Black holes II