Theoretical / proof-based
General relativity · Graduate · Physics
Topics
Geometric foundations
- Manifolds, tangent spaces, and tensors
- Affine connection and parallel transport
- Curvature: Riemann, Ricci, and Einstein tensors
- Geodesics and variational formulation
- Stress–energy conservation ∇_μ T^μν = 0
Einstein's equations
- Einstein field equations and Newtonian limit
- Schwarzschild solution and black holes
- Kerr metric and rotating black holes (intro)
- Linearized gravity and gravitational waves
- ADM formalism and 3+1 decomposition (overview)
Cosmology and tests
- FLRW metrics and Friedmann equations
- Gravitational lensing: weak and strong
- Perihelion precession and light deflection
- Gravitational time delay and Shapiro effect
- Initial value problem and gauge choices
What each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Geometric foundations
Manifolds, tangent spaces, and tensors
Coming soon - Einstein's equations
Einstein field equations and Newtonian limit
Coming soon - Cosmology and tests
FLRW metrics and Friedmann equations
Coming soon
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$1,162 · General relativity · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle.