Course Chapters
Table of Contents
Explore each chapter of general relativity in a structured learning sequence.
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General Relativity
Special relativity, Minkowski spacetime, tensor analysis, curved spacetime, Einstein's field equations, Schwarzschild solution, black holes, gravitational waves, Penrose diagrams, Kerr solution, black hole thermodynamics, Hawking radiation, Oppenheimer-Snyder collapse, nature of singularities.
Core Concepts
Key Topics
Essential concepts and areas you should master in general relativity.
Special Relativity
Lorentz Transformations
Four-Vectors
Minkowski Spacetime
Tensor Analysis
Covariant and Contravariant Components
Metric Tensor
Manifolds
Tangent Vectors
Curved Spacetime
Geodesics
Curvature Tensor
Riemann Tensor
Christoffel Symbols
Principle of Equivalence
Time Dilation
Local Lorentz Invariance
Einstein's Field Equations
Einstein's Tensor
Energy-Momentum Tensor
Schwarzschild Solution
Black Holes
Gravitational Waves
Kerr Solution
Black Hole Thermodynamics
Hawking Radiation
Recommended Reading
Recommended Books
Carefully selected books to deepen your understanding of general relativity.
Gravity
James Hartle
A First Course in General Relativity
Bernard Schutz
Spacetime and Geometry: An Introduction to General Relativity
Sean Carroll
Gravitation
Charles W. Misner, Kip S. Thorne, John Archibald Wheeler
The Large Scale Structure of Space-Time
Stephen Hawking, George F. R. Ellis
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