An Introduction to General Relativity by Hughston and Tod

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SUMMARY

"An Introduction to General Relativity" by L.P. Hughston and K.P. Tod is a highly recommended resource for developing tensor calculus skills within the context of relativity. The book is concise and includes numerous problems that enhance understanding of key concepts in general relativity, causality, and cosmology. While it is not as advanced as other texts like Wald or Carroll, it serves as an excellent supplementary material for both applied mathematics and physics majors, particularly for those seeking to improve their calculation fluency in more complex works.

PREREQUISITES
  • Tensor calculus fundamentals
  • Basic principles of general relativity
  • Understanding of causality in physics
  • Familiarity with cosmological concepts
NEXT STEPS
  • Explore advanced topics in general relativity using "General Relativity" by Robert M. Wald
  • Study "Spacetime and Geometry" by Sean Carroll for a deeper understanding of GR
  • Practice tensor calculus problems to solidify skills in relativity contexts
  • Investigate the implications of causality in modern cosmology
USEFUL FOR

This discussion is beneficial for applied mathematics and physics majors, educators in relativity, and anyone looking to enhance their understanding of tensor calculus and its applications in general relativity.

For those who have used this book

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  • Total voters
    2
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I linked this one because for some reason I don't see it being mentioned more often. It is concise and manages to pack in a lot of problems that really develop your tensor calculus calculation skills in the setting of relativity and the later discussions on causality and cosmology are really cool but the book isn't as advanced as Wald or Carroll. The book is used for the course taught at Oxford to senior level applied mathematics majors but I'm sure physics majors can use it too (I'm a physics major and I like it mainly for the utility of the problems in making the calculations required in Wald etc. much more fluid to do and simply because these kind of tensor calculus problems are fun and this book has a ton of them whereas other standard GR books really don't other than MTW). It is awesome in a supplementary nature.
 

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