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Relativity Good Book on GR

  1. Nov 14, 2015 #1

    BiGyElLoWhAt

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    What is a good book on GR? I have a good amount of experience with SR, and have spent a good deal of time researching GR, from Wikipedia, to PDF's, and youtube videos. I am moderately comfortable with Tensors, but a book that covers them in depth would be nice, not necessary, however. (I can look things up as I go if I run into problems with the maths).

    I started reading Øyvind Grøn's book on PDF, is anyone familiar with that?
    Ok, I guess they're lecture notes:
    https://www.google.com/?gws_rd=ssl#q=øyvind+grøn+GR+PDF

    It's been interesting, but I don't know if better material exists. I'm definitely not afraid to struggle, but I think I have a good enough conceptual understanding that if I do struggle, it will be in the maths.

    Thanks in advance!
     
  2. jcsd
  3. Nov 14, 2015 #2
    I'd say Wald's General Relativity and the MTW are great for a mathematically rigorous formulation of GR, although they're a bit old.
     
  4. Nov 14, 2015 #3

    BiGyElLoWhAt

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    Old just means it will look cooler on my physics/math collection book shelf ;)
     
  5. Nov 14, 2015 #4
    They're fat too (seriously), so you'll have to make quite a bit of space on your shelf.
     
  6. Nov 14, 2015 #5

    BiGyElLoWhAt

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    Haha, it's mostly empty, thus far. I have about a dozen or a dozen and a half books, so there's more than enough room.
     
  7. Nov 14, 2015 #6
    I would add W. Thirring "Mathematical Physics", volumes 1 and 2 (solid introduction to classical and relativistic field theory in the language of differential forms and manifold calculus). If not as a main resource, than to at least expand/clarify maths in other books. Rather old, but among my all-time favourites.

    Plus it has a fair number of problems with solutions.
     
    Last edited: Nov 14, 2015
  8. Nov 14, 2015 #7

    BiGyElLoWhAt

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    That sounds great! Is the title simply Mathematical Physics? I can find Quantum Mathematical Physics by Thirring, but can't seem to find MP vol 1 and 2.
     
  9. Nov 14, 2015 #8
    No, sorry. I have assumed that they used titles as in original (German) edition. It's this https://www.amazon.com/Classical-Mathematical-Physics-Dynamical-Theories/dp/0387406158 ; Classical Mathematical Physics, Dynamical Systems and Field Theories. Original four volumes were, as it seems, glued together into Classical (vol 1 and 2) and Quantum (vol 3 and 4) Mathematical Physics. Excuse faulty assumption.

    Addendum: It should be worth mentioning that this is quite literally mathematical physics, it is assumed that you know the basics on topics at hand and want to see more in-depth applications of differential geometry, methods of approach and solution of some of the most important cases and such. It's less of a textbook on GR or classical field theory and more of a toolbox for rigorous solutions and mathematics behind them. Featured five-star reviews in the linked Amazon page are very true to what I want to convey.
     
    Last edited: Nov 14, 2015
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