Best books to self-study general relativity

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Discussion Overview

The discussion revolves around recommendations for books suitable for self-studying general relativity, with a focus on mathematical treatments. Participants share their experiences and preferences regarding various texts, considering both the mathematical rigor and the pedagogical approach of each book.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant expresses a desire for a full mathematical treatment of general relativity, despite being rusty in mathematics.
  • Another participant recommends Schutz's "A First Course in General Relativity" for its good introduction to special relativity and necessary mathematics.
  • Rindler's "Relativity: Special, General, and Cosmological" is noted for its thoroughness on special relativity but may not suit mathematically inclined readers.
  • Ohanian & Ruffini's "Gravitation and Spacetime" is described as physically oriented but lacking in special relativity for beginners.
  • Carroll's "Spacetime and Geometry" is praised for its modern approach but assumes prior mastery of special relativity.
  • Misner, Thorne & Wheeler's "Gravitation" is considered too extensive and eccentric for a first book, although it is fun to explore.
  • Wald's "General Relativity" is viewed as too advanced for an introductory text.
  • A participant shares their experience with Hartle's "Gravity: An Introduction to Einstein's General Relativity," finding its physics-first approach unsuitable for their learning style.
  • Another participant mentions using "A Short Course in General Relativity" by Foster and Nightingale, noting it is not very rigorous but enjoyable.
  • Barrett O'Neill's "Semi-Riemannian Geometry With Applications to Relativity" is recommended for its rigor, though it may be challenging for beginners.
  • Gregory L. Naber's "The Geometry of Minkowski Spacetime" is suggested for its detailed exploration of the mathematical foundations of special relativity, despite its limited physics content.
  • One participant indicates they will likely choose Schutz's book after gaining access to their university library.
  • Another suggests "Spacetime, Geometry, Cosmology" by Burke as a potential resource, noting it simplifies some difficult differential geometry while containing valuable mathematics.
  • A link to a reading list on general relativity is provided for further exploration.

Areas of Agreement / Disagreement

Participants present multiple competing views on the best resources for studying general relativity, with no consensus on a single recommended text. Different preferences for mathematical rigor and pedagogical approaches are evident.

Contextual Notes

Some participants express varying levels of comfort with mathematical rigor, indicating that the suitability of a book may depend on individual backgrounds and learning preferences. The discussion highlights the subjective nature of book recommendations in the context of self-study.

kesh
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from the point of view of a maths graduate who studied almost all pure maths and who graduated 15 years ago and has forgotten most of it

i want the full mathematical treatment. though I'm rusty i know i can learn and enjoy difficult mathematics

thankyou
 
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You should do a search through this section and the book review section, because this has come up several times before.

I suggest Schutz, A First Course in General Relativity, because he does a good job on special relativity and introduces all the necessary math.

Comments on some other books:

Rindler, Relativity: Special, General, and Cosmological. Very thorough on SR, and lots of insight on everything, but might frustrate the mathematically inclined reader.

Ohanian & Ruffini, Graviation and Spacetime. Very physical book, but not quite enough on SR for a beginner.

Carroll, Spacetime and Geometry. Great book, very modern, practical, and reads very well, but pretty much assumes mastery of SR.

Misner, Thorne & Wheeler, Gravitation. Too fat and eccentric for a first book. But many libraries have it, and it's fun to explore.

Wald, General Relativity. Too sophisticated and advanced for an introduction.
 
Hi. I am also a math major, or rather was, I am teaching in a high school now but still continue my self-study for fun. Maybe I will go for graduate school in a few years. Anyway... the first book I used in Relativity course was "Gravity: An Introduction to Einstein's General Relativity" by Hartle, but his physics-first approach does not work for me (the course was offered in the physics department).

I am now re-learning via "A short course in General Relativity" by James Foster and J. David Nightingale. Not very rigorous but work fun for me. If you want the rigorous treatment, you may try these books that I use for reference:

1. "Semi-Riemannian Geometry With Applications to Relativity" by Barrett O'Neill. Great but could be difficult for beginner.

2. "The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity" by Gregory L. Naber. You probably won't learn much physics from this book but the mathematical foundation is explored in greater details and you will appreciate SR more.
 
Thankyou everyone for your help. I've gained alumni membership to my university library so it will give me a chance to check out the books in detail, but judging by a quick look in the bookshop i'll be going with schutz
 
kesh said:
Thankyou everyone for your help. I've gained alumni membership to my university library so it will give me a chance to check out the books in detail, but judging by a quick look in the bookshop i'll be going with schutz

Now that you have access to a university library, you might try to find Spacetime, Geometry, Cosmology by Burke. He punts on some of the more difficult differential geometry, but otherwise there's a lot of lovely math in this book.

And here's http://math.ucr.edu/home/baez/RelWWW/reading.html .
 
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