A Student's Manual for A First Course in GENERAL RELATIVITY
This textbook is a solution manual to almost 50% of the exercises in Bernard Schutz's "A first course in GENERAL RELATIVITY". In addition there are 125 Supplementary Problems for which I've provided detailed solutions to 62, the remaining 63 will have solutions for instructors only.
The Table of Contents and Preface are available here.
The index is meant to be complete enough that instructors can browse it to find suitable exercises to assign to their class.
The publication date is January 21, 2016, and is now available in stores. On can order the book from the Cambridge University Press catalogue.
I wrote this book to help make general relativity, one of the greatest cultural achievements of all time, accessible to a wider range of people. Using Schutz's wonderful introductory textbook as a main resource, this solution manual to help you when you get stuck or want to verify solutions, and perhaps a couple of supplementary textbooks such as Hobson, Efstathiou, Lasenby's (2006) textbook and/or Rindler's (2006) textbook, anyone with a good grasp of undergraduate calculus and linear algebra and basic Newtonian mechanics can learn Einstein's great theory of gravitation. Over the last few years I've been contacted by several engineers who have taken up learning GR as a retirement project. I hope that this solution manual will help them in their project.
Additional Resources for this textbook
Maple worksheet that was used to produce all figures and solved or helped with some solutions. If you have Maple installed on your computer then you should be able to run this worksheet and reproduce the figures, and follow some of the calculations. This is certainly not essential, but perhaps will save you some time.
Table indicating which Schutz exercises and my supplementary problems have solutions in the Student Manual, and which have solutions in the Instructors manual. I also give a very subjective indication of their level of difficulty and their purpose -- practice using techniques, deepening understanding, extend the scope of Schutz's book.
Please see this errata page for corrections and omissions. If you would like to report what you believe to be an error, contact me: firstname.lastname@example.org, thanks Robert Scott.