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Currently Playing: Relativity 108b: Schwarzschild Metric - Interpretation (Gravitational Time Dilation, Event Horizon)

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 0:00 Introduction 0:53 Gravitational Time Dilation 9:55 r-coordinate interpretation (radius) 15:26 r-coordinate interpretation (circumference) 18:24 Singularities 20:23 Schwarzschild Radius + Event Horizon 21:41 Light-like geodesics 26:00 Light rays on spacetime diagrams 31:36 Summary Read more about Flamm's Parabaloid: https://en.wikipedia.org/wiki/Schwarzschild_metric#Flamm's_paraboloid Free "Exploring Black Holes" Textbook (look for "PDF" link under "Download Options" on the right side of the page): https://archive.org/details/exploringblackholes Another source for the radial integral (see section 4.3): https://pages.pomona.edu/~tmoore/LesHouches/les-houches-4.pdf Viewer phugoidoscillations commented that the integral can also be found in "Anton Calculus 6th ed", Table of Integrals #96.