Which Book Should Beginners Study for General Theory of Relativity?

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Discussion Overview

The discussion focuses on recommendations for beginner-friendly books on General Theory of Relativity (GTR) and the necessity of prior knowledge in tensor algebra. Participants explore various texts and their suitability for different levels of understanding in mathematics and physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant inquires about suitable books for studying GTR and whether knowledge of tensor algebra is required.
  • Another participant suggests that the current level of math and physics knowledge is crucial for providing appropriate recommendations.
  • Hartle's book is recommended as a good starting point for GTR, as it introduces physics before tensors and is considered up to date.
  • Some participants mention that many GTR textbooks, including Wald, introduce necessary mathematical concepts like tensors progressively throughout the text.
  • Cheng's book is noted as a comparable alternative to Hartle, particularly for those interested in cosmology, though it is shorter and less detailed on black holes.
  • A participant suggests that Schutz's book is more suitable for beginners compared to Dirac's text, which is deemed inappropriate for those new to the subject.

Areas of Agreement / Disagreement

There is no consensus on a single recommended book, as participants present various options and preferences based on their experiences. Some participants agree on Hartle being a gentle introduction, while others highlight different texts based on specific interests or backgrounds.

Contextual Notes

Participants express differing opinions on the necessity of prior knowledge in tensor algebra and the level of detail required in a GTR textbook, indicating that individual learning preferences and goals may influence their recommendations.

Who May Find This Useful

Beginners interested in studying General Theory of Relativity, educators seeking resources for teaching GTR, and individuals looking for recommendations on foundational texts in physics and mathematics.

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As a beginner which book should i study for GTR & does it require to have knowledge of tensor algebra ? If yes then suggest me a book for that too .
 
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You'll need to tell us your current level of maths/physics before we can answer this. You may also want to search this forum for previous threads on the topic.
 
Hartle tries to present as much physics as possible before introducing tensors. His book is also among the most up to date. The place to start for GR, though I'd want to have a good grounding in SR first.

https://www.amazon.com/dp/0805386629/?tag=pfamazon01-20

Some other books of interest:

https://www.amazon.com/dp/020138423X/?tag=pfamazon01-20
https://www.amazon.com/dp/0198506562/?tag=pfamazon01-20
https://www.amazon.com/dp/0935702016/?tag=pfamazon01-20

A more advanced book that covers some GR calculations by "deriving" linear gravitational field equations in analogy with electrodynamics:

https://www.amazon.com/dp/0393965015/?tag=pfamazon01-20
 
Last edited by a moderator:
I learned tensor calculus from my GR text...
 
Phrak said:
I learned tensor calculus from my GR text...

Yeah most of the GR textbooks (even Wald) introduce the math needed along the way including tensors, tetrads, tangent spaces, covariant derivaties, Lie derivatives etc etc

As Daverz mentioned the most gentle introduction is Hartle, I think it only presumes calculus. After that either Schutz or Ohanion are good for an advanced undergrad text. In between undergrad and grad stands Carroll and MTW (Misner, Wheeler, Thorne), and they are suitable for a senior or a first year grad student. And then THE grad text is Wald. All of them start from scratch, but they have increasing levels of mathematical sophistication.
 
I learned from Cheng, which is a nice book on the same level as Hartle if you don't want too many details. It doesn't cover Black Holes in detail, but covers more Cosmology than Hartle. I studied from it because I wanted Cosmology.

Hartle is better, from what I've seen, but Cheng's book has only 300 pages, as opposed to Hartle's 600+. (I was a little short of time, because of a 15-day summer school.)
 
i have two ebooks on this . 1st one by P.A.M dirac & 2nd by A 1st course in relativity by Bernard F Schutz, which one shud i read ?
 
Go for Schutz. Dirac's book is not for beginners. Also, you need to solve exersices to learn effectively.
 

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