15. Linearized gravity II: Dynamic sources

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 Solving the linearized field equation for a dynamical source.  Using a radiative Green's function, we find an exact solution for this case.  By carefully considering gauge and gauge-invariant spacetime components, we characterize the nature of the degrees of freedom encoded in this solution.  Of particular relevance to the next two lectures is that two components of this solution describe gravitational radiation in a gauge-invariant manner.  (It's worth reiterating that this lecture is somewhat advanced; students do not need to follow every detail in order to get the lecture's point.) 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.