Thomas A. Moore: A General Relativity Workbook

Here are my solutions to various problems in Thomas A. Moore's textbook A General Relativity Workbook. As always, no guarantees that the answers are correct, but if you spot any errors, comments are always welcome.

After some consideration, I've decided to repost this index to the solutions. I understand that some folks may be concerned that I am providing 'free' answers to problems that some students have been assigned as homework, but there are several points that should be made:

These solutions are the only ones that I've worked out so far, so please don't ask me to post "the rest of the chapters" as I haven't worked on those yet. I will get to them eventually.

There is an official site listing errata in the textbook. If you're confused by something in the text itself, it's worth having a look here to see if there is a typo on that page.

Chapter 3 - Four-vectors

Boxes
3.4.1, 3.4.2
Problems
P3.1, P3.2, P3.3, P3.4, P3.5, P3.6, P3.7, P3.8, P3.9, P3.10

Chapter 4 - Index notation

Problems
P4.1, P4.2, P4.3, P4.4, P4.5P4.6, P4.7, P4.8, P4.9, P4.10, P4.11

Chapter 5 - Arbitrary coordinates

Problems
P5.1, P5.2, P5.3, P5.4, P5.5, P5.6, P5.7

Chapter 6 - Tensor equations

Problems
P6.1, P6.2, P6.3, P6.4P6.5, P6.6, P6.7, P6.8P6.9, P6.10, P6.11

Chapter 7 - Maxwell's equations

Problems
P7.1, P7.2, P7.3P7.5, P7.6, P7.7, P7.8

Chapter 8 - Geodesics

Problems
P8.1, P8.2, P8.3, P8.4, P8.5, P8.6, P8.7

Chapter 9 - The Schwarzschild metric

Exercises
9.1
Problems
P9.1, P9.2P9.3P9.4, P9.5, P9.6, P9.7

Chapter 10 - Particle Orbits

Exercises
10.1, 10.2, 10.310.4
Problems
P10.2, P10.3, P10.4, P10.5, P10.6, P10.7, P10.8, P10.9, P10.10, P10.11P10.12, P10.13P10.14, P10.15

Chapter 11 - Precession of the Perihelion

Exercises
11.6.1
Problems
P11.1, P11.2, P11.3, P11.5, P11.6, P11.7, P11.8, P11.9, P11.11

Chapter 12 - Photon Orbits

Problems
P12.1, P12.2, P12.3, P12.4, P12.5, P12.6, P12.7, P12.8, P12.9

Chapter 13 - Deflection of Light

Exercises
13.5.1, 13.6
Problems
P13.1, P13.2, P13.3, P13.4, P13.5P13.6, P13.7, P13.8, P13.9

Chapter 14 - Event Horizon

Exercises
14.1, 14.2, 14.3
Problems
P14.1, P14.2, P14.3, P14.4, P14.5, P14.7, P14.8

Chapter 15 - Alternative Coordinates

Exercises
15.1, 15.2, 15.3, 15.4
Problems
15.115.3, 15.4, 15.5, 15.6, 15.7, 15.815.9

Chapter 16 - Black Hole Thermodynamics

Exercises
16.1, 16.2, 16.3, 16.4
Problems
P16.1, P16.2, P16.3P16.4, P16.5, P16.6, P16.7, P16.8, P16.9

Chapter 17 - The Absolute Gradient

Exercises
17.1, 17.2, 17.3, 17.4, 17.5, 17.6, 17.7
Problems
17.2, 17.3, 17.5, 17.6, 17.7, 17.8, 17.9, 17.10

Chapter 18 - Geodesic Deviation

Exercises
18.1, 18.2, 18.3, 18.4
Problems
18.1, 18.2, 18.3, 18.4, 18.5, 18.6, 18.7, 18.8

Chapter 19 - The Riemann Tensor

Exercises
19.1, 19.2, 19.3, 19.4, 19.5, 19.6
Problems
19.119.2, 19.3, 19.4, 19.5, 19.6, 19.719.8, 19.9

Chapter 20 - The Stress-Energy Tensor

Exercises
20.1, 20.2, 20.3, 20.4, 20.5
Problems
20.1, 20.2, 20.3, 20.4, 20.5, 20.6, 20.7, 20.8, 20.920.10

Chapter 21 - The Einstein Equation

Exercises
21.1, 21.2, 21.3
Problems
21.121.221.3, 21.5, 21.6, 21.7, 21.8, 21.9

Chapter 22 - Interpreting the Equation

Exercises
22.1, 22.2, 22.3, 22.4, 22.5, 22.6
Problems
22.1, 22.2, 22.3, 22.422.5, 22.6, 22.7

Chapter 23 - The Schwarzschild Solution

Exercises
23.1, 23.2, 23.3, 23.4, 23.5
Problems
23.1, 23.2, 23.3, 23.4, 23.5, 23.6