MIT 8.962 General Relativity, Spring 2020 - 7. Principle of equivalence continued; parallel transport.

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 An examination of local coordinate transformations: proof that the metric of spacetime can be put into a representation that is locally flat (with 'leftover' degrees of freedom corresponding to boosts and rotation).  Deviations from flatness correspond to spacetime curvature.  This lecture also discusses the notion of transport, which must be used to connect points in a manifold in order to define a proper tensor derivative.  Focus here is on 'parallel transport,' which turns out to use the Christoffel symbol introduced in Lecture 5. 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.