Schwarzschild Geodesic Equations and Conservation Laws: Derivation @FacultyofKhan
Schwarzschild Geodesic Equations and Conservation Laws: Derivation  @FacultyofKhan
Uploaded August 2025 | Updated September 2026, 2 weeks ago
This video derives the geodesic equations for Schwarzschild geometry, using the general geodesic equation derived in my Tensor Calculus series (youtube.com/watch?v=5_79m-kHxts). With some of the coordinates, I also come up with the conservation laws for energy and angular momentum.

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/1g6Gmbf4xISKfpTeJF-yZAkow6L7d_sP6/view?usp=drive_link

Special thanks to my Patrons:
Patapom
Eugene Bulkin
Andy Johnston
Patrick Gibson
Joseph Dubeau
David Johnston
Max Chornyi
fubar
Schwarzschild Geodesic Equations and Conservation Laws: DerivationStationary States in Quantum MechanicsTensor Transformation Laws: Contravariant, Covariant, and Mixed TensorsUsing Greens Functions to Solve Nonhomogeneous ODEsLagrange Equations: Multiple Particles and ConstraintsIntroduction to Operators in Quantum MechanicsBasic Linear Algebra Concepts for TensorsFourier Transforms in Partial Differential EquationsThe Principle of Stationary ActionDynamical Systems on a Circle | Nonlinear DynamicsHow to Transform Spacetime Diagrams | Special RelativityIntroducing Convolutions: Intuition + Convolution Theorem
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Schwarzschild Geodesic Equations and Conservation Laws: Derivation

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