Spacetime Embedding Diagrams: Flamms Paraboloid | General Relativity @FacultyofKhan
Spacetime Embedding Diagrams: Flamms Paraboloid | General Relativity  @FacultyofKhan
Uploaded June 2025 | Updated September 2026, 2 weeks ago
This video derives the equation for #flammsparaboloid, the embedding diagram corresponding to the #schwarzschildmetric. I also briefly describe reasons that Flamm's paraboloid is often misleading when used to depict spacetime, but further details will be left to another video!

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
Lecture Notes: drive.google.com/file/d/1nn286qP1OY7LEuiokQl_8efImw97Jep0/view?usp=drive_link

Special thanks to my Patrons:
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Andy Johnston
Patrick Gibson
Joseph Dubeau
David Johnston
Spacetime Embedding Diagrams: Flamms Paraboloid | General RelativityThe Generalized Uncertainty Principle | Proof/DerivationThe Stirling Approximation: a 5-minute Derivation!Introduction to Thermodynamics and Statistical MechanicsIntroduction to Nonlinear DynamicsHow to analyze Systems of Linear ODEs with Eigenvalues/Eigenvectors | Nonlinear DynamicsLinear Stability Analysis | Dynamical Systems 3Complex Integration: The ML Inequality Proof and ExampleDerivation of the Euler-Lagrange Equation | Calculus of VariationsHow to find the Residues of a Complex FunctionConformal Mappings and the Local Inverse | Complex VariablesOld Channel Introduction
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Spacetime Embedding Diagrams: Flamm's Paraboloid | General Relativity

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