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!
- 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|
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 - 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|
|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|