These are my notes on the International Winter School on Gravity and Light taught in 2015. It is a self contained course in the topic of general relativity. The videos are available via YouTube.
It is mainly taught by Dr. Frederic Schuller and I have typed up all of his lectures. I have also typed up the tutorials at the end of the document for question practice.
This course is brilliant and I highly recommend it to anyone wanting to learn GR, even if they have been introduced to it before as the level of detail is exceptional.
Either click the left image or here for the English version
Thanks to Jon A. Gomez these notes have now been translated into Spanish! Click the corresponding PDF button to see these. I extend a huge thank you to Jon for doing this!
Either click the right image or here for the Spanish version.
Take a look at remark 2.1.3, as I think it's not correct. A manifold is locally homeomorphic to R^d, not homeomorphic to a subset of R^d.
Hey Richie, thank you so much for the notes. Would you be having the exercises that were published on the winter school for light and gravity website? The website seems to be down and I can't get access to them.