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:
- There are already many web resources (including physics blogs, tutorial sites and other pages where solutions are provided) available that provide answers to problems, so I’m not providing solutions that aren’t available elsewhere. What I am providing, hopefully, are background explanations of the theory that expands on, or describes in a different way, material found in the textbook. Judging by comments I have received, many people find these explanations helpful, and that is my main goal.
- If a teacher is concerned about students copying answers from the internet, s/he should consider making up their own problems. I did this for the courses that I taught in my 25 years as a university lecturer. For a field as rich as physics, it shouldn’t be too difficult to come up with original problems.
- If you’re a student seeking to copy solutions, you should realize that you won’t learn much unless you make a genuine effort to solve the problem on your own first. Remember that in most universities, the majority of the marks for a course are obtained from exams, and if you sit an exam without having worked out problems on your own beforehand, your chances of passing are pretty low. In my experience as a teacher myself, I found that most students realize this and do make a genuine effort to learn the material on their own.
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
Chapter 4 – Index notation
Chapter 5 – Arbitrary coordinates
Chapter 6 – Tensor equations
Chapter 7 – Maxwell’s equations
Chapter 8 – Geodesics
Chapter 9 – The Schwarzschild metric
Chapter 10 – Particle Orbits
Chapter 11 – Precession of the Perihelion
Chapter 12 – Photon Orbits
Chapter 13 – Deflection of Light
Chapter 14 – Event Horizon
Chapter 15 – Alternative Coordinates
Chapter 16 – Black Hole Thermodynamics
Chapter 17 – The Absolute Gradient
Chapter 18 – Geodesic Deviation
Chapter 19 – The Riemann Tensor
Chapter 20 – The Stress-Energy Tensor
Chapter 21 – The Einstein Equation
Chapter 22 – Interpreting the Equation
Chapter 23 – The Schwarzschild Solution