General Relativity Explained in 7 Levels of Difficulty

Go to https://curiositystream.com/minutephysics get access to CuriosityStream AND Nebula (where you can watch the extended version of this video), plus you'll get a 26% discount on an annual subscription.

This video covers the General theory of Relativity, developed by Albert Einstein, from basic simple levels (it's gravity, curved space) through to the concepts of how curved spacetime is represented by psuedo-Riemannian manifolds with Lorentzian signature (that is, special relativity and minkowski space are the local tangent space), how matter and energy are represented by an energy-momentum tensor, and how these two together obey the Einstein Field Equations. The solutions to the Einstein Field Equations (including the schwarzschild metric, kerr metric, freedman-lemaitre-robertson-walker metric, etc) represent gravity around massive objects like the sun, earth, and black holes, but also the history and expansion and future evolution of the cosmos. The universe on a large scale is described by general relativity - on a small scale, quantum mechanics. And where they meet... there's still work to be done.

REFERENCES
Wald's textbook - General Relativity
Hartle's textbook - Gravity: An Introduction to Einstein's General Relativity

Carlo Rovelli History of Quantum Gravity: https://cds.cern.ch/record/442809/files/0006061.pdf

Leon Rosenfeld 1930 paper on quantum gravity: http://www.edoc.mpg.de/438547

Kerr Metric Solution - https://en.wikipedia.org/wiki/Eddington%E2%80%93Finkelstein_coordinates
Schwarzschild Metric - https://en.wikipedia.org/wiki/Schwarzschild_metric

Eddington-Finkelstein Coordinates - https://en.wikipedia.org/wiki/Eddington%E2%80%93Finkelstein_coordinates

Support MinutePhysics on Patreon! http://www.patreon.com/minutephysics
Link to Patreon Supporters: http://www.minutephysics.com/supporters/

MinutePhysics is on twitter - @minutephysics
And facebook - http://facebook.com/minutephysics
And Google+ (does anyone use this any more?) - http://bit.ly/qzEwc6

Minute Physics provides an energetic and entertaining view of old and new problems in physics -- all in a minute!

Created by Henry Reich
...
https://www.youtube.com/watch?v=eNhJY-R3Gwg