Uploaded February 2025 | Updated September 2026, 2 weeks ago

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This video begins with the assumptions and simplifications to the Einstein field equations that will ultimately be solved to obtain the Schwarzschild metric. The vacuum Einstein field equations are derived along with the ansatz for the Schwarzschild metric.

In future videos, I'll continue the derivation by computing the Christoffel symbols, Ricci tensor components, and then ultimately solving the differential equations to get the Schwarzschild metric.

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/1iA7DDj-uZklXbPLz86rNEHAV1I4CpocI/view?usp=drive_link

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