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Black Holes
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- Black Holes Dr. P.K. Townsend
- Contents
- Chapter 1 Gravitational Collapse
- 1.1 The Chandrasekhar Limit
- 1.2 Neutron Stars
- Chapter 2 Schwarzschild Black Hole
- 2.1 Test particles: geodesics and a_ne parameterization
- 2.2 Symmetries and Killing Vectors
- 2.3 Spherically-Symmetric Pressure Free Collapse
- 2.4 Carter-Penrose Diagrams
- 2.5 Asymptopia
- 2.6 The Event Horizon
- 2.7 Black Holes vs. Naked Singularities
- Chapter 3 Charged Black Holes
- 3.1 Reissner-Nordstrom
- 3.2 Pressure-Free Collapse to RN
- 3.3 Cauchy Horizons
- 3.4 Isotropic Coordinates for RN
- Chapter 4 Rotating Black Holes
- 4.1 Uniqueness Theorems
- 4.2 The Kerr Solution
- 4.3 The Ergosphere
- 4.4 The Penrose Process
- Chapter 5 Energy and Angular Momentum
- 5.1 Covariant Formulation of Charge Integral
- 5.2 ADM energy
- 5.3 Komar Integrals
- 5.4 Energy Conditions
- Chapter 6 Black Hole Mechanics
- 6.1 Geodesic Congruences
- 6.2 The Laws of Black Hole Mechanics
- Chapter 7 Hawking Radiation
- 7.1 Quantization of the Free Scalar Field
- 7.2 Particle Production in Non-Stationary Spacetimes
- 7.3 Hawking Radiation
- 7.4 Black Holes and Thermodynamics
- Appendix A Example Sheets
- A.1 Example Sheet 1
- A.2 Example Sheet 2
- A.3 Example Sheet 3
- A.4 Example Sheet 4