ă 2005

By David Waite

Modern Relativity

These units explain general relativity only. We assume that the reader already has a full understanding of special relativity. For info on special relativity try our special relativity unit - Unit I - Special Relativity

General Relativity Preface

Unit II

Foundations For General Relativity

Chapter 4 Starting GR

4.1 - The Conceptual Premises For GR

4.2 - Tensors in GR

4.3 - The Metric and Invariants of GR

4.4 - The Affine Connections and The Covariant Derivative

Chapter 5 GR Dynamic Implications

5.1 - Four-Momentum

5.2 - Geodesic and Nongeodesic Motion

5.3 - Types of Acceleration

5.4 - More About Motion

5.5 - Conserved Parameters of Geodesic Motion

Chapter 6 Gravitation's Source

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 in GR

7.1 - Maxwell's Equations

7.2 - Larmor Radiation and the Abraham-Lorentz Formulae

Chapter 8 Robertson-Walker and the Big Bang

8.1 - Gaussian Curvature and the Robertson-Walker Interval

8.2 - The Robertson-Walker Interval and Hubble's "Constant"

Chapter 9 Linearized Weak Field Gravitation

9.1 - Gravitational Radiation

9.2 - Newtonian Limit Vs Gravitomagnetism

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 - "Apparently" Lighter With Speed

10.4 - Behavior of Light in a Schwarzschild Spacetime

Chapter 11 Charged and Rotating Black Holes and Their Thermodynamics

11.1 - The Kerr-Newman Solution

11.2 - Hawking Radiation

Unit V

Fringe Physics in General Relativity

Chapter 12 The New Frontiers

12.1 - Metric Engineering

12.2 - Wormholes

12.3 - Time Travel

12.4 - Manipulation of Inertia Through Metric Patching

12.5 - Relativistic Unification Theories

Chapter 13 Warp Drives

13.1 - Using General Relativity 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

14.2 - Faster than c that does occur naturally

Appendix A: Newtonian-Relativistic Comparisons

Appendix B: Planck - SI Unit Conversion

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