General Relativity

  1. The Principles of General Relativity
    1. The Principle of Equivalence
      1. Weak Equivalence Principle
        1. Universality of Free Fall
          1. Equivalence of Inertial and Gravitational Mass
            1. Experimental Tests
            2. Einstein Equivalence Principle
              1. Local Lorentz Invariance
                1. Local Position Invariance
                  1. Local Non-gravitational Experiment Independence
                    1. Implications for Physics
                    2. Strong Equivalence Principle
                      1. Extension to Self-Gravitating Bodies
                        1. Gravitational Self-Energy
                          1. Tests with Astronomical Bodies
                        2. Thought Experiments
                          1. The Elevator Experiment
                            1. Uniform Acceleration vs. Gravity
                              1. Local Equivalence
                                1. Limitations of the Principle
                                2. Gravitational Time Dilation
                                  1. Clocks in Gravitational Fields
                                    1. Redshift and Blueshift
                                      1. Experimental Verification
                                      2. Gravitational Redshift
                                        1. Frequency Shift of Light in Gravity
                                          1. Energy Conservation Arguments
                                            1. Observational Consequences
                                          2. From Force to Geometry
                                            1. Gravity as Spacetime Curvature
                                              1. Departure from Flat Spacetime
                                                1. Geometric Interpretation of Gravity
                                                2. Geodesics
                                                  1. Paths of Freely Falling Particles
                                                    1. Geodesic Deviation
                                                      1. Tidal Forces
                                                      2. The Geometric Nature of Physics
                                                        1. Background Independence
                                                          1. Diffeomorphism Invariance

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                                                      1. Foundations of General Relativity

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                                                      3. Mathematical Framework: Tensor Calculus and Differential Geometry