GR5 · The Schwarzschild solution
A 23-module path through gr5 · the schwarzschild solution, in study order from foundations to the frontier.
Modules
- The Schwarzschild Metric
- Derivation of the Schwarzschild Solution
- Birkhoff's Theorem
- Schwarzschild Radius and the Geometric Mass
- Killing Vectors and Conserved Quantities in Schwarzschild
- Geodesic Equations in Schwarzschild Spacetime
- Effective Potential for Massive Particle Orbits
- Circular Orbits and Their Stability
- Innermost Stable Circular Orbit (ISCO)
- Photon Orbits and the Photon Sphere
- Perihelion Precession in Schwarzschild Geometry
- Gravitational Redshift in Schwarzschild Spacetime
- Coordinate vs Curvature Singularities
- Curvature Invariants of Schwarzschild
- The Schwarzschild Event Horizon
- Eddington–Finkelstein Coordinates
- Tortoise Coordinate and Radial Null Geodesics
- Kruskal–Szekeres Coordinates
- Maximal Extension and the Penrose Diagram of Schwarzschild
- The Einstein–Rosen Bridge
- Interior Geometry and Radial Infall to the Singularity
- Embedding Diagrams of the Schwarzschild Geometry
- Surface Gravity of the Schwarzschild Horizon