Uploaded March 2025 | Updated September 2026, 2 weeks ago

---

This video concludes my derivation of the #Schwarzschildmetric 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.

Questions/requests? Let me know in the comments!

Pre-reqs: Videos before this one 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_
Lecture Notes: drive.google.com/file/d/1yu7KCnA1r6-8J5dY0zFTrg3B7Jn8IQQx/view?usp=drive_link

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