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Open CosmologyPhysics & cosmology: four years, plus a graduate year
Cosmology · Year V · Graduate

8.962 General Relativity

Gravity as the curvature of spacetime: tensors, geodesics, curvature, the Einstein field equation, gravitational waves, cosmology and black holes. On this site it focuses on what is needed to derive the Friedmann equations properly.

8.962 is a graduate-level course at MIT, usually taken after the bachelor's core (Years I–IV).

Based on MIT OpenCourseWare, Spring 2020 · Prof. Scott Hughes · Course on OCW

Themes

Cosmology in general relativity

The FLRW metric and the Friedmann equations derived from Einstein's field equation.

Lectures 18, 19

Lectures (0 of 23 with pages so far)

  1. Lecture 1Introduction and The Geometric Viewpoint on PhysicsMIT ↗
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  2. Lecture 2Introduction to TensorsMIT ↗
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  3. Lecture 3Tensors ContinuedMIT ↗
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  4. Lecture 4Volumes and Volume Elements; Conservation LawsMIT ↗
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  5. Lecture 5The Stress Energy Tensor and the Christoffel SymbolMIT ↗
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  6. Lecture 6The Principle of EquivalenceMIT ↗
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  7. Lecture 7The Principle of Equivalence Continued; Parallel TransportMIT ↗
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  8. Lecture 8Lie Transport, Killing Vectors, Tensor DensitiesMIT ↗
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  9. Lecture 9GeodesicsMIT ↗
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  10. Lecture 10Spacetime CurvatureMIT ↗
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  11. Lecture 11More on Spacetime CurvatureMIT ↗
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  12. Lecture 12The Einstein Field EquationMIT ↗
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  13. Lecture 13The Einstein Field Equation (Variant Derivation)MIT ↗
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  14. Lecture 14Linearized Gravity I: Principles and Static LimitMIT ↗
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  15. Lecture 15Linearized Gravity II: Dynamic SourcesMIT ↗
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  16. Lecture 16Gravitational Radiation IMIT ↗
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  17. Lecture 17Gravitational Radiation IIMIT ↗
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  18. Lecture 18Cosmology IMIT ↗
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  19. Lecture 19Cosmology IIMIT ↗
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  20. Lecture 20Spherical Compact Sources IMIT ↗
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  21. Lecture 21Spherical Compact Sources IIMIT ↗
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  22. Lecture 22Black Holes IMIT ↗
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  23. Lecture 23Black Holes IIMIT ↗
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Note: 8.962 is a graduate course; this site covers the parts cosmology needs. Lecture titles are from the Spring 2020 video lectures page.