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Physics
Astrophysics and Cosmology
Black Holes
1. Introduction to Black Holes
2. The Theoretical Framework: General Relativity
3. Anatomy of a Black Hole
4. Formation Mechanisms
5. Classification Systems
6. Observational Detection Methods
7. Cosmic Roles and Influence
8. Thermodynamics and Quantum Physics
9. Theoretical Frontiers and Paradoxes
Classification Systems
Mass-Based Classification
Stellar-Mass Black Holes
Mass Range
Formation Mechanisms
Typical Properties
Observational Characteristics
Intermediate-Mass Black Holes
Mass Range Definition
Formation Theories
Observational Candidates
Globular Cluster Connections
Supermassive Black Holes
Mass Range
Galactic Center Locations
Formation Theories
Growth Mechanisms
Primordial Black Holes
Theoretical Mass Range
Formation Epoch
Evaporation Timescales
Cosmological Implications
Physical Property Classification
The No-Hair Theorem
Statement and Implications
Three Fundamental Properties
Uniqueness Theorems
Mass Characterization
Gravitational Mass
Measurement Techniques
Mass-Energy Equivalence
Electric Charge
Theoretical Considerations
Charge Neutralization
Astrophysical Relevance
Angular Momentum
Spin Parameter
Maximum Rotation Rate
Measurement Methods
Observational Signatures
Metric Solutions
Schwarzschild Black Holes
Non-rotating, Uncharged
Spherical Symmetry
Schwarzschild Coordinates
Physical Properties
Kerr Black Holes
Rotating, Uncharged
Axial Symmetry
Boyer-Lindquist Coordinates
Ergosphere Properties
Reissner-Nordström Black Holes
Charged, Non-rotating
Electromagnetic Field
Double Horizon Structure
Astrophysical Rarity
Kerr-Newman Black Holes
Charged and Rotating
Most General Solution
Complex Horizon Structure
Theoretical Completeness
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4. Formation Mechanisms
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6. Observational Detection Methods