General Relativity
Study of gravity as a geometric property of spacetime
General Relativity#
General relativity is Einstein's theory of gravitation, describing gravity as a geometric property of spacetime.
Topics#
- 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
Resources#
Books#
- Gravity by James Hartle
- A First Course in General Relativity by Bernard Schutz
- Spacetime and Geometry: An Introduction to General Relativity by Sean Carroll
- Gravitation by Charles W. Misner, Kip S. Thorne, John Archibald Wheeler
- The Large Scale Structure of Space-Time by Stephen Hawking, George F. R. Ellis