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2005 By David WaiteUnit I
Special Relativity
Chapter 1 Starting Special Relativity
1.1 - Lorentz Transformation
1.2 - Relative Space and Time
1.3 - Paradoxes
Chapter 2 Representing Special Relativity
Chapter 3 Special Relativity Dynamic Implications
3.1 - Mass, Energy and the Universe's Speed Limit
Unit II
Foundations For General Relativity
Chapter 4 Starting General Relativity
4.1 - The Conceptual Premises For General Relativity
4.2 - Tensors
4.3 - The Metric and Invariants of General Relativity
4.4 - Christoffel Symbols
Chapter 5 General Relativity Dynamic Implications
5.1 - Four-Vector Momentum
5.2 - Geodesic Equation and Nongeodesic Motion
5.3 - Acceleration
5.4 - More About Motion
Chapter 6 Gravitation
6.1 - Curvature, Parallel transport, and the Riemann tensor
6.2 - Mach, Gravitational Forces, and Tidal Gradients
6.3 - Stress Energy of Matter and Einstein's Field Equations
Unit III
Using General Relativity
Chapter 7 Electromagnetism
7.1 - Exact Gravitation of Extremely Charged Matter and the Electric Field
7.2 - Maxwell's Equations
Chapter 8 The Big Bang
8.1 - Gaussian Curvature and the Friedmann-Lematre-Robertson-Walker Interval
8.2 - Hubble's Constant
Chapter 9 Linearized Weak Field Gravitation
9.1 - Gravity Waves
9.2 - GEM (Gravitoelectromagnetism)
9.3 - Isotropic Static Weak Field Solution and Exact Solutions
Unit IV
Black Holes
Chapter 10 The Schwarzschild Black Hole
10.1 - The Schwarzschild Solution
10.2 - Hovering over a Schwarzschild Black Hole
10.3 - Exact Spacetime Inside Static Spherically Symmetric Matter
Chapter 11 Charged and Rotating Black Holes and Their Thermodynamics
11.1 - The Kerr-Newman Solution
11.2 - Hawking Radiation
11.3 - Classically Radiative Black Holes and Modeling Gravitational Collapse
Unit V
Fringe Physics in GR
Chapter 12 The New Frontiers
12.1 - Metric Engineering
12.2 - Wormholes
12.3 - Time Travel
Chapter 13 Warp Drive
13.1 - Using GR to Change the Remote Coordinate Speed of Light c'
13.2 - Alcubierre-Broeck Warp Drives
13.3 - Another Warp Drive
Chapter 14 Other Faster Than c Methods
14.1 - The Krasnikov Tube
Appendix A: Newtonian-Relativistic Comparisons
Appendix B: Planck - SI Unit Conversion
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