Books for the study of General Relativity

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Discussion Overview

The discussion revolves around recommendations for books on General Relativity (GR), particularly for someone beginning their thesis focused on gravitational waves. Participants share various texts they consider valuable for building a strong understanding of GR, discussing their approaches and styles.

Discussion Character

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

Main Points Raised

  • One participant seeks recommendations for books to strengthen their understanding of General Relativity, mentioning several titles including D'Inverno, Misner, Weinberg, and Schutz.
  • Another participant advocates for Misner, Thorne, and Wheeler (MTW) as a comprehensive reference, noting its geometric approach compared to D'Inverno's index-based style.
  • Some participants express a preference for MTW, while others suggest Wald for its terseness and different style.
  • Sean Carroll's book is mentioned as addressing gravitational waves, with a link to an early draft provided.
  • One participant recommends the second volume of Landau and Lifschitz for an introductory understanding of GR without overwhelming mathematical complexity.
  • Another participant suggests "Gravitational Waves: Volume 1: Theory and Experiments" by Michele Maggiore as a reference specifically for gravitational radiation.

Areas of Agreement / Disagreement

There is no consensus on a single best book; participants express varied preferences and highlight different strengths of the recommended texts. Some participants prefer a more geometric approach, while others favor a more physical or less mathematically intensive style.

Contextual Notes

Participants express uncertainty about the suitability of certain texts for beginners, with some questioning whether a comprehensive book like MTW might be too advanced for someone with only introductory knowledge of GR.

Who May Find This Useful

This discussion may be useful for graduate students beginning their studies in General Relativity, particularly those interested in gravitational waves and seeking guidance on foundational texts.

Casco
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I am about to start my thesis and I have, let's say, just an introductory course of General Relativity as background and I would like to know which would be a good book as a reference so that I can get a stronger knowledge of General Relativity.

All this taking into account that I will do my thesis on gravitational waves. Some had suggested me books like:

Introduction to Einstein's General Relativity-D'Inverno
Gravitation-Misner,...(I am very tempted to take this my principal reference but I don not know it would be a good idea.)
Gravitation- Weinberg
An introductory course ...- Shutz B.F

Well these are my main options. I am thinking about taking Gravitation-Misner as my first reference and D'Inverno as my second reference. The other ones would be just as complements.

Any advise is accepted, keep in mind that I am just a beginner on G.R.
 
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For comprehensiveness, I don't think you can beat MTW.

MTW tries for a very geometric approach to GR while D'Inverno is purely index-based. Every definition in D'Inverno's book is something like "the components of _____ transform as...".

I also hear that because D'Inverno is a mathematician, his writing on physics can be like "nails on the chalkboard" to a physicist. Not that he gets things wrong, but he will make statements like "the (relativistic) mass increases with speed". If you can deal with that, it should be alright, lol.
 
I suggest using Misner, Thorne, and Wheeler (1973) as your first reference. It is the most comprehensive I've ever seen. As for a book specifically concerning gravitational waves, I suggest a more recent book. Sorry, can't recommend one.
 
I'm rather partial to MTW's Gravitation, and for a completely different style I'd suggest Wald, which is considerably more terse.

Schutz I don't really care for much, your mileage may vary.
 
Matterwave said:
For comprehensiveness, I don't think you can beat MTW.

MTW tries for a very geometric approach to GR while D'Inverno is purely index-based. Every definition in D'Inverno's book is something like "the components of _____ transform as...".

I also hear that because D'Inverno is a mathematician, his writing on physics can be like "nails on the chalkboard" to a physicist. Not that he gets things wrong, but he will make statements like "the (relativistic) mass increases with speed". If you can deal with that, it should be alright, lol.

So, Which would you recommend for a good understanding? What I am looking for is a book with a very strong physical background. Any suggestion for a book with a very strong physical approach??
 
Bobbywhy said:
I suggest using Misner, Thorne, and Wheeler (1973) as your first reference. It is the most comprehensive I've ever seen. As for a book specifically concerning gravitational waves, I suggest a more recent book. Sorry, can't recommend one.

Could it be comprehensive for a graduated beginner(Like me)?? Or, Should I go to something more modest?
 
Casco said:
Could it be comprehensive for a graduated beginner(Like me)?? Or, Should I go to something more modest?

If you have a strong Physics background, I'd start with Sean Carroll's Spacetime and Geometry. MTW is just too unfocused for an introduction.
 
There are, just like for QM and QFT, extremely many books from which to choose. I can say that for the beginning, just to get to the physics behing GR and not overshadow the arguments with tons of tensors and integrals, pick the 2nd volume of Landau and Lifschitz text <Classical field theory>. It won't get you abruptly into the mathematics, for sure. Then, if you need rigor and a wider range of subjects treated, go to R.Wald's book.
 
  • #10
And for the part of gravitational radiation which would be the best reference??
 
  • #11
Casco said:
And for the part of gravitational radiation which would be the best reference??

Gravitational Waves: Volume 1: Theory and Experiments by Michele Maggiore,
https://www.amazon.com/dp/0198570740/?tag=pfamazon01-20.

Use the LOOK INSIDE feature to look at the table of contents.
 

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