General Relativity
Physics
Einstein's geometric theory of gravitation: spacetime curvature, the Einstein field equations, black holes, gravitational waves, and cosmology.
Learning Objectives
- Understand spacetime as a Riemannian manifold
- Derive and apply the geodesic equation
- Work with the Riemann curvature tensor
- Understand the Schwarzschild and Kerr metrics
- Study gravitational waves and GW astronomy
- Apply GR to cosmology (FRW metric)
Lessons
1
Special Relativity Review: 4-Vectors & Minkowski Space
42 min
2
Differential Geometry: Manifolds, Tensors & Connections
42 min
3
The Geodesic Equation & Parallel Transport
42 min
4
Curvature: Riemann, Ricci & Einstein Tensors
42 min
5
The Einstein Field Equations
42 min
6
The Schwarzschild Metric & Black Holes
42 min
7
Gravitational Lensing & Geodesic Precession
42 min
8
Gravitational Waves & LIGO
42 min
9
Kerr Black Holes & Rotating Spacetimes
42 min
10
Cosmology: FRW Metric & the Expanding Universe
42 min
Quick Practice
Test your knowledge with a quick interactive challenge from this module.
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Key Concept Flashcards
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