Recommended Textbooks for Learning GR: A Graduate Student's Perspective

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Discussion Overview

The discussion revolves around recommendations for textbooks on General Relativity (GR) suitable for graduate students. Participants share their experiences and preferences regarding various texts, considering factors such as pedagogical style, mathematical prerequisites, and specific learning goals related to GR.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants suggest Dirac's textbook for an initial introduction, while others find it too concise and recommend alternatives like Carroll or Schutz.
  • Carroll's book is praised for its pedagogical style, with some participants indicating it may be suitable for those with limited time.
  • Hartle is mentioned as a strong candidate for beginners, with one participant noting its effective connection between GR and physical concepts.
  • Schutz is recommended by multiple participants as a good introductory text, although one participant later revised their recommendation in favor of Hartle after personal experience.
  • Misner, Thorne, and Wheeler's book is noted as a classic but not necessarily the best for beginners, with some participants expressing surprise at its absence in earlier recommendations.
  • Weinberg's text is mentioned for its comprehensive coverage of GR and cosmology, appealing to those looking for a modern approach.
  • Participants discuss their mathematical backgrounds, with some expressing concerns about the prerequisites for understanding certain texts, particularly regarding differential geometry.
  • There is a suggestion to consider a combination of multiple texts for a well-rounded understanding, though some participants question whether this approach might be overwhelming.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a single best textbook for learning GR, as multiple competing views and preferences are expressed regarding the suitability of various texts based on individual backgrounds and learning objectives.

Contextual Notes

Several participants mention their mathematical preparation, indicating varying levels of familiarity with concepts like tensor analysis and differential geometry, which may influence their textbook recommendations.

Who May Find This Useful

This discussion may be useful for graduate students beginning their study of General Relativity, educators seeking textbook recommendations, and anyone interested in the pedagogical approaches to teaching GR.

PhysiSmo
Hello everyone! I'm on my 2nd graduate year and (unfortunately) just started learning GR. My professor suggests Dirac's textbook for a 1st contact and Wald for further details and advanced topics. I find Dirac too laconic and Wald pretty difficult. So...any other suggestions out there? I've heard Carroll's book is also very good. Any opinions? Thanx in advance!
 
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What about GR do you want to learn? [i.e. any particular focus?]
and how well do you know Special Relativity?
What is your mathematical preparation?
 
Caroll's book is nice. Probably you can finish it very quickly then you will be able to read Wald. Did you consider Straumann?
 
Thank you for answering robphy! I'm trying to build a proper background towards string theory, so I guess that I must learn a lot of stuff about GR. I'm quite familiar with special relativity, I had no problem studying QFT, at least. My mathematical preparation concerning GR ends in tensor analysis. No differential geometry at all!

Edit: Timur, I haven't seen Straumann yet. How advanced is he?
 
Try B. F. Schutz, “A First Course in General Relativity“, Cambridge University Press (1985).
 
PhysiSmo said:
Thank you for answering robphy! I'm trying to build a proper background towards string theory, so I guess that I must learn a lot of stuff about GR. I'm quite familiar with special relativity, I had no problem studying QFT, at least. My mathematical preparation concerning GR ends in tensor analysis. No differential geometry at all!

Edit: Timur, I haven't seen Straumann yet. How advanced is he?

I would recommend Hartle followed by Carroll and/or d'Inverno. And afterward Wald.
 
Dirac as a first contact? How bizarre. I'd also recommend Schutz as a first book, though I have not seen the well regarded Hartle. I also like Ohanian.
 
I like the books by Hartle and Carroll.

For me, Hartle makes the connection between general relativity and the physical universe better than any other book. Tensors are not introduced until page 427, but when introduced, they are presented in “modern” style as multilinear maps.

Carroll is more advanced and contains the best quantitative introduction to Hawking radiation in print,.

Hartle and Carroll were both reviewed in the January 2005 issue of Physics Today.
 
  • #10
Thank you all for your answers! I think I'll stick with Carroll, since I don't have enough time to start with Schutz or Hartle, and then jump into something more advanced. At first glance, his writing style seems really pedagogic (instead of Dirac...lol).
 
  • #11
I would recommend Carroll as the absolute best for beginners. Dirac tries to simplify things by using embedding into higher dimensional Euclidean space. Straumann is a bit "mathematical" I guess.
 
  • #12
Now that I've had Hartle for a few months, I'd definitely change my recommendation for a first GR book from Schutz to Hartle. I think even very sophisticated students could benefit from Hartle.
 
  • #13
I'm surprised nobody mentioned Misner, Thorne, and Wheeler. That's the one I used, and I loved it.

I understnad there's many books out there- just wondering why the elephant in the room (pun intended) is being ignored.
 
  • #14
Andy Resnick said:
I'm surprised nobody mentioned Misner, Thorne, and Wheeler. That's the one I used, and I loved it.

I understnad there's many books out there- just wondering why the elephant in the room (pun intended) is being ignored.

MTW is not the best introductory textbook, while of course it's a must read after you already went through the above courses. And at a higher level there is Wald.
 
  • #15
I want to recommend two textbooks that I use to begin study my first class in GR (at undergraduate level)

First, "General Relativity : An Introduction for Physicist" by M. P. Hobson , G. P. Efstathiou , A. N. Lasenby << this book give an excellent introduction to GR with easily language and less mathematics

Second, "Gravitation and Cosmology : Principles and application of the general theory of relativity" by Steven Weinberg << this book give you an all cover in GR including math and also provide a modern concept in cosmology which is the application of GR for further study or reseach

I use both of these books for my GR class and also my first senior project too

you can found both from amazon :rolleyes:
 
  • #16
What are you opinions of the best GR book for building calculational experience?

I'm taking GR next semester and considering using a combination of Wald, Carroll, Weinberg, Hartle, Schutz and Dirac. Although perhaps this is too many...
 
  • #17
jdstokes said:
What are you opinions of the best GR book for building calculational experience?

I'm taking GR next semester and considering using a combination of Wald, Carroll, Weinberg, Hartle, Schutz and Dirac. Although perhaps this is too many...

Get the problem book:

https://www.amazon.com/dp/069108162X/?tag=pfamazon01-20
 
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