Uploaded March 2025 | Updated September 2026, 3 weeks ago

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A compilation of my recent 4 videos on General Relativity, where the full Schwarzschild metric is derived by solving the vacuum #Einsteinfieldequations, followed by using the non-relativistic weak field limit to determine the constant of integration, which will turn out to be the all-important #SchwarzschildRadius.

This video doesn't have anything new, but I made it as a whole compilation since some of you expressed interest!

Questions/requests? Let me know in the comments!

Pre-reqs: Videos 1-4 in my GR playlist: youtube.com/playlist?list=PLdgVBOaXkb9Dc-vr2nw-UF6PJknfAuJzU
My Tensor Calculus playlist is also essential for this video: youtube.com/playlist?list=PLdgVBOaXkb9D6zw47gsrtE5XqLeRPh27_

0:00 - Assumptions and Simplifications
12:28 - Christoffel Symbols Calculation
24:34 - Ricci Tensor Calculation
35:00 - Completing the Solution

Special thanks to my Patrons:
Patapom
Eugene Bulkin
Andy Johnston
Patrick Gibson
Joseph Dubeau
David Johnston