What is a good general relativity book for self-study?

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Discussion Overview

The discussion focuses on recommendations for self-study books on general relativity, particularly for a Mechanical Engineering student who is seeking resources due to the absence of a formal course. Participants also discuss the necessary prerequisites for studying general relativity.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests that a strong background in partial differential equations and differential geometry is important for studying general relativity, indicating that basic university-level physics may not be sufficient.
  • Another participant recommends "A First Course in General Relativity" by Bernard Schutz, noting that it develops the necessary mathematics and covers special relativity, which may be beneficial for the original poster.
  • Another suggestion is "Gravity" by Hartle, with a note that familiarity with Maxwell's equations would enhance understanding.
  • A participant advises reading a book on special relativity first, recommending "A Traveller's Guide to Spacetime."
  • There is a mention of "The General Theory of Relativity" by P A M Dirac as a top recommendation for general relativity.
  • One participant reiterates the recommendation for Schutz's book while expressing a preference for Narlikar's book, citing its illustrative examples as more illuminating.
  • Several participants mention a book with minimal math requirements, suggesting it as a gentle introduction to the topic.
  • Another participant notes that while some recommended books are less math-intensive, they may lack advanced content found in more rigorous texts like Schutz's and Narlikar's.

Areas of Agreement / Disagreement

Participants express a range of opinions on the best books for self-study in general relativity, with no clear consensus on a single recommended text. There is also disagreement on the necessary prerequisites for studying the subject effectively.

Contextual Notes

Some participants emphasize the importance of a solid mathematical foundation, while others suggest that less rigorous texts may suffice for beginners. The discussion reflects varying levels of preparedness and expectations regarding the complexity of general relativity.

Hobold
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Hello, I'm a Mechanical Engineering student and I want a good general relativity book to study, as this course isn't offered in my course and my credits are already exploding for me to get this course this/next semester, so I will be studying on my on.

Also, which pre-requisites would be good to have? I have a good calculus background and basic physics knowledge (University-level mechanics, waves, heat, fluids, eletromagnetism, modern physics, optics, etc)

Anything in Spanish, Portuguese, English, German, Italian or French is fine.
 
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What do you mean "University level"? If that is the introductory freshman course, then you're not prepared.

My university doesn't offer an undergraduate course in general relativity so my experience is from the graduate course. Our course realistically required a course in partial differential equations, differential geometry would have been nice, Jackson level electromagnetism (graduate level), and I suppose that is it... not that that's to be taken lightly!
 
Thanks for your answer. I thought I was eligible for it.

Thread may be closed.
 
You could try "A first course in General Relativity" by Bernard Schutz: https://www.amazon.com/dp/0521887054/?tag=pfamazon01-20. A very large part of the book is spent developing the math needed to tackle general relativity. Usually I'd say this is unnecessary (most people study general relativity as seniors or in grad school) but in your case it might be what you are looking for. The book even goes over special relativity pretty well.
 
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Gravity by Hartle may be accessible to you. Though you'd still get more out of it if you've worked with Maxwell's equations in differential form.

Schutz is a more traditional GR book (i.e. developing the Riemann tensor before getting into much physics.)
 
Read a book on special relativity, first. I suggest "A Traveller's guide to spacetime"!
 
The best book in GR is The General Theory of Relativity by P A M Dirac
 
deluks917 said:
You could try "A first course in General Relativity" by Bernard Schutz: https://www.amazon.com/dp/0521887054/?tag=pfamazon01-20. A very large part of the book is spent developing the math needed to tackle general relativity. Usually I'd say this is unnecessary (most people study general relativity as seniors or in grad school) but in your case it might be what you are looking for. The book even goes over special relativity pretty well.

I agree, this is a very good book. However I prefer https://www.amazon.com/dp/0521735610/?tag=pfamazon01-20

The one by Narlikar has pretty much the same information as Schutz, however Narklikar's examples and illustrations more illuminating.
 
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  • #10
redrzewski said:
https://www.amazon.com/dp/020138423X/?tag=pfamazon01-20

Gentle intro with minimal math requirements.

Agreed. If you're not looking for something math intensive this is a great book. However if you go this route, you should probably also pick up https://www.amazon.com/dp/020138423X/?tag=pfamazon01-20

Although Spacetime Physics is about Special Relativity rather than General Relativity, the book Exploring Black Holes builds off of this work. Both are great and very insightful books on the subject. They however lack the more advanced content, and mathematical formalism you'd find in Schutz's and Narklikar's books.
 
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