12. The Einstein field equation.

MIT General Relativity, Spring 2020 Instructor: Scott Hughes View the complete course: YouTube Playlist: The Einstein curvature tensor, a variation on the Ricci curvature, defined so that it has vanishing covariant divergence.  Using this tensor, we at last build a field theory for spacetime, motivating the Einstein field equation by arguing how to generalize a gravitational field equation to relativity. License: Creative Commons BY-NC-SA More information at More courses at Support OCW at We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at