Black Holes

  1. Classification Systems
    1. Mass-Based Classification
      1. Stellar-Mass Black Holes
        1. Mass Range
          1. Formation Mechanisms
            1. Typical Properties
              1. Observational Characteristics
              2. Intermediate-Mass Black Holes
                1. Mass Range Definition
                  1. Formation Theories
                    1. Observational Candidates
                      1. Globular Cluster Connections
                      2. Supermassive Black Holes
                        1. Mass Range
                          1. Galactic Center Locations
                            1. Formation Theories
                              1. Growth Mechanisms
                              2. Primordial Black Holes
                                1. Theoretical Mass Range
                                  1. Formation Epoch
                                    1. Evaporation Timescales
                                      1. Cosmological Implications
                                    2. Physical Property Classification
                                      1. The No-Hair Theorem
                                        1. Statement and Implications
                                          1. Three Fundamental Properties
                                            1. Uniqueness Theorems
                                            2. Mass Characterization
                                              1. Gravitational Mass
                                                1. Measurement Techniques
                                                  1. Mass-Energy Equivalence
                                                  2. Electric Charge
                                                    1. Theoretical Considerations
                                                      1. Charge Neutralization
                                                        1. Astrophysical Relevance
                                                        2. Angular Momentum
                                                          1. Spin Parameter
                                                            1. Maximum Rotation Rate
                                                              1. Measurement Methods
                                                                1. Observational Signatures
                                                              2. Metric Solutions
                                                                1. Schwarzschild Black Holes
                                                                  1. Non-rotating, Uncharged
                                                                    1. Spherical Symmetry
                                                                      1. Schwarzschild Coordinates
                                                                        1. Physical Properties
                                                                        2. Kerr Black Holes
                                                                          1. Rotating, Uncharged
                                                                            1. Axial Symmetry
                                                                              1. Boyer-Lindquist Coordinates
                                                                                1. Ergosphere Properties
                                                                                2. Reissner-Nordström Black Holes
                                                                                  1. Charged, Non-rotating
                                                                                    1. Electromagnetic Field
                                                                                      1. Double Horizon Structure
                                                                                        1. Astrophysical Rarity
                                                                                        2. Kerr-Newman Black Holes
                                                                                          1. Charged and Rotating
                                                                                            1. Most General Solution
                                                                                              1. Complex Horizon Structure
                                                                                                1. Theoretical Completeness