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Currently Playing: Relativity 109c: Gravitational Waves - Wave Derivation (The Lorenz Gauge)

Full relativity playlist: https://www.youtube.com/playlist?list=PLJHszsWbB6hqlw73QjgZcFh4DrkQLSCQa Powerpoint slide files: https://github.com/eigenchris/MathNotes/tree/master/Relativity Leave me a tip: https://ko-fi.com/eigenchris Some helpful PDFs on the Lorenz Gauge: https://pages.pomona.edu/~tmoore/LesHouches/les-houches-4.pdf https://pages.pomona.edu/~tmoore/LesHouches/les-houches-5.pdf Other Sources on Gravitational Waves: Sean Carroll: https://preposterousuniverse.com/wp-content/uploads/grnotes-six.pdf Wikipedia: https://en.wikipedia.org/wiki/Linearized_gravity YouTube: https://www.youtube.com/watch?v=kIBdtbCszB0 PDF 1: http://star-www.st-and.ac.uk/~hz4/gr/hendry_GRwaves.pdf PDF 2: https://www.tat.physik.uni-tuebingen.de/~kokkotas/Teaching/NS.BH.GW_files/GW_Physics.pdf 0:00 Introduction to Lorenz Gauge 2:10 Proving 3 terms in G go to zero 5:09 Displacement Field 8:03 Metric Tensor transformation 10:30 Riemann Tensor transformation 12:05 h-bar transformation 14:43 Lorenz gauge gives the Wave Equation 17:57 Gauge Transformations in Electricity and Magnetism 22:12 Gauge Transformations in Linearized Gravity