Howdy! This page will be dedicated for the "General Relativity Marathon", a magical secret seminar that will happen every **Saturday** 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!

**Resources I found useful in order of usefulness:**

Books (all available at our Library):

__General Relativity__by Wald: Excellent book. Gets to the physics right away and introduces the maths when necessary.__Spacetime and Geometry__by Carol: Starts introducing all the maths first. It can be a bit slow at the beginning.__General Theory of Relativity__by P.A.M. Dirac: Extremely concise (less than 70 pages) which makes it very handy if you're already familiar with the subject. Doesn't motivate anything. Excellent for reference/revision.__Gravitation__by Misner Thorne and Wheeler: Very nice writing which makes it entertaining to read, but it's a giant book. Uses weird notation and analogies sometimes. This book is considered "too old" by many.

Online lectures (in general: watch at 2x):

- 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 |
---|---|

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

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 - Lorentz transformations, Lorentz invariance, four vectors |

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

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

27th October | The Algebra of SR, worked examples and paradoxes |

3rd November | Double Session: Motivation to GR, the Einstein equivalence principle, the 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 manifolds, topology |

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

Winter Break | |

16th February | Review, the covariant derivative, 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 |