Tuesday 5 July 2016

The WE-Heraeus International Winter School on Gravity and Light, Lectures, Tutorials and Solutions



Lecture notes: https://github.com/lazierthanthou/Lecture_Notes_GR/blob/master/main.pdf

Lecture notes for a similar course by Dr Schuller
All spacetimes beyond Einstein (Obergurgl Lectures)
https://arxiv.org/abs/1111.4824

List of Lecture Videos
Lecture 1: Topology
Lecture 2: Topological Manifolds
Lecture 3: Multilinear Algebra
Lecture 4: Differentiable Manifolds
Lecture 5: Tangent Spaces
Lecture 6: Fields
Lecture 7: Connections
Lecture 8: Parallel Transport & Curvature
Lecture 9: Newtonian spacetime is curved!
Lecture 10: Metric Manifolds
Lecture 11: Symmetry
Lecture 12: Integration on manifolds
Lecture 13: Spacetime
Lecture 14: Matter
Lecture 15: Einstein Gravity 
Lecture 16: Optical Geometry I
Lecture 17: Optical Geometry II 
Lecture 18: Canonical Formulation of GR I
Lecture 19: Canonical Formulation of GR II 
Lecture 20: Cosmology - The early epoch    
Lecture 21: Cosmology - The late epoch
Lecture 22: Black Holes
Lecture 23: Penrose Diagrams 
Lecture 24: Perturbation Theory I 
Lecture 25: Perturbation Theory II 
Lecture 26: How quantizable matter gravitates
Lecture 27: Sources of gravitational waves
Lecture 28: How to detect gravitational waves

Click here for the Lecture Videos

List of Tutorials
Tutorial 1: Topology
Tutorial 2: Topological Manifolds
Tutorial 3: Multilinear Algebra
Tutorial 4: Differentiable Manifolds
Tutorial 5: Tangent Spaces
Tutorial 6: Fields
Tutorial 7: Connections
Tutorial 8: Parallel Transport & Curvature
Tutorial 9: Metric Manifolds
Tutorial 11: Symmetry
Tutorial 12: Integration
Tutorial 13: Schwarzschild Spacetime
Tutorial 14: Relativistic Spacetime, Matter & Gravitation
Tutorial 15: Cosmology
Tutorial 16: Diagrams
Tutorial 17: Perturbation Theory

Click here for the Tutrial Problems
Click here for the Tutorial Solutions


11 comments :

  1. Hi. Thank you for this brilliant work.

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  2. This comment has been removed by the author.

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  3. Good lecture, does any one has LaTeX note about?Please share to my Email 963411096@qq.com, Thank you

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  4. Good lecture, does any one has LaTeX code about?Please share to my Email 963411096@qq.com, Thank you

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  5. Hello, which is the reference textbooks for the math that he teaches in the first part of the lecture(specifically topology,dual vector space,tensor etc..)

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  6. Thank you very much this is great!!!

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  7. it would be great honor for me if someone gives me notes.my email is sajawalzafar31@gmail.com

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  8. As a companion for the differential geometry I recommend the book "An Introduction to manifolds" by Tu, Loring W.

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  9. Hey,

    Thank you for your work.

    However, the link the website hosting the tutorials has recently gone down; namely https://gravity-and-light.herokuapp.com/tutorials

    You wouldn't happen to know where I can get copies of the PDFs, would you?

    Best,
    Alan

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    Replies
    1. Hey,

      My email is hoth_man AT hotmail DOT com

      I would be grateful to anyone who would email me the tutorials.

      Best,
      Alan

      Delete