Howdy! This page will be dedicated for the "General Relativity Marathon", a magical secret seminar that will happen every **Saturday** at **10:00 **- **11:15** in **RIII Seminar Room** at a time that is usually announced here.

**You can find the lecture notes prepared for this seminar here (click). They will be updated regularly.**

The topic of this seminar is **The theory of general relativity**. I'll be updating this page with relevant material: mainly the lectures notes I'll be writing for this seminar, as well as presentation slides when needed, some resources/links/books and whatever I found to be of aid in my understanding of the theory. Let's see how this goes!

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- What is a Tensor? , What is a Manifold? , What is General Relativity? series by XylyXylyX: Excellent, very highly recommended. The first two series introduces the mathematics with GR in mind. They're pretty long (130+ hours in total, or 60+ hours if you watch at 2x), but very comprehensive. They tend more towards the mathematical side. The last of them "What is General Relativity" is still ongoing to this date.
- General Relativity by Alexander Maloney: A graduate course on general relativity. I enjoyed these a lot.
- General Relativity by Leonard Suskind: Only 10 lectures. Very popular. I find them OK.

Session Date | Topic | Link to notes/slides | ||
---|---|---|---|---|

15th September | Introduction, degrees of freedom, notions of invariance, locality, field theories, motivation | Slides | ||

22nd September | Session canceled due to Jacobs Games and Alumni Homecoming | |||

29th September | Special relativity: Part 1 - Inertial frames, Galilean transformations, Lorentz transformations | |||

6th October | Special relativity: Part 2 - The invariant interval, the Minkowski geometry, Lorentz transformations, Lorentz invariance, four vectors | Lecture notes | ||

13th October | Special relativity: Part 3 - The Minkowski Metric, Tensors, The Metrics and the correct notion of distance, the invariant interval, tensors, the Minkowski metric, the geometry of SR, The Algebra of SR. | |||

20th October | Session canceled due to organizer being away for the weekend. | |||

27th OctoberEinstein | summation convention, The Algebra of SR, worked examples and paradoxes | |||

3rd November | Double Session: Motivation to GR, the Einstein equivalence principle, the geodesic equation | Lecture notes | 3rd November | principle of general covariance, tensors |

10th November | Session canceled due to the University Physics Competition happening during the weekend | |||

17th November | Tensors, the Einstein summation convention, coordinate transformations | |||

24th November | Double Session: Pseudo-Riemanian riemanian manifolds, topology | |||

1st December | The geodesic equation, the christoffel symbols, parallel transport, the christoffel symbolcovariant derivative | |||

Winter Break | ||||

16th February | Review, the covariant derivative | 10th November | Session canceled due to the University Physics Competition happening during the weekend | , the metric connection, curvature |

23rd February | Curvature, fluid mechanics, the energy-stress tensor | |||

2nd February | The energy-stress tensor, the Einstein tensor, the Einstein Field Equation | |||

9th March | Determining the constant, the newtonian limit, symmetries, Lie derivatives and the killing equation | |||

16th March | The Schwarzchild solution, the Schwarzchild blackhole, Kruzkal coordinates | |||

23rd March | Kruzkal coordinates, conformal transformations, causal structures and Penrose diagrams | |||

2nd April | Optional topics: The FLRW Model, the linearised EFE, the Kerr solution, the teleparallel equivalent of GR, the warp drive metric |