8. Lie transport, Killing vectors, tensor densities.

MIT General Relativity, Spring 2020 Instructor: Scott Hughes View the complete course: YouTube Playlist: Discussion of a second notion of transport, 'Lie' transport, and the associated Lie derivative.  Use of this derivative to discuss spacetime symmetries, as encapsulated by Killing vectors.  Also discusses 'tensor densities,' volume elements in general spacetimes, and certain tricks and identities that use the determinant of the spacetime metric. 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