8. Lie transport, Killing vectors, tensor densities.



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MIT 8.962 General Relativity, Spring 2020 Instructor: Scott Hughes View the complete course: https://ocw.mit.edu/8-962S20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP629n_3fX7HmKKgin_rqGzbx 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 https://ocw.mit.edu/terms More courses at https://ocw.mit.edu Support OCW at http://ow.ly/a1If50zVRlQ 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 https://ocw.mit.edu/comments.

Published by: MIT OpenCourseWare Published at: 3 years ago Category: آموزشی