Black Holes

  1. The Theoretical Framework: General Relativity
    1. Fundamental Principles
      1. The Equivalence Principle
        1. Weak Equivalence Principle
          1. Strong Equivalence Principle
            1. Local Inertial Frames
              1. Gravitational vs. Inertial Mass
              2. Spacetime Geometry
                1. Concept of Spacetime
                  1. Four-Dimensional Manifold
                    1. Metric Tensor
                      1. Warping by Mass and Energy
                      2. Curvature and Gravity
                        1. Spacetime Curvature
                          1. Geodesics and Free-Fall
                            1. Tidal Effects
                              1. Effects on Light and Matter
                              2. Einstein Field Equations
                                1. Mathematical Formulation
                                  1. Physical Interpretation
                                    1. Energy-Momentum Tensor
                                      1. Cosmological Constant
                                    2. Key Relativistic Phenomena
                                      1. Gravitational Effects on Light
                                        1. Gravitational Lensing
                                          1. Deflection of Light Rays
                                            1. Weak and Strong Lensing
                                              1. Observational Evidence
                                              2. Time Dilation Effects
                                                1. Gravitational Time Dilation
                                                  1. Time Slowing Near Massive Objects
                                                    1. Experimental Confirmation
                                                      1. GPS Satellite Corrections
                                                      2. Frequency Shifts
                                                        1. Gravitational Redshift
                                                          1. Gravitational Blueshift
                                                            1. Wavelength Changes in Gravity Wells
                                                              1. Astrophysical Observations
                                                              2. Rotational Effects
                                                                1. Frame-Dragging
                                                                  1. Lense-Thirring Effect
                                                                    1. Rotating Masses and Spacetime
                                                                      1. Experimental Tests

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                                                                  1. Introduction to Black Holes

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                                                                  3. Anatomy of a Black Hole