General Relativity

General Relativity

Prof. Scott Hughes via MIT OpenCourseWare Direct link

8. Lie transport, Killing vectors, tensor densities.

8 of 23

8 of 23

8. Lie transport, Killing vectors, tensor densities.

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Classroom Contents

General Relativity

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

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