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