A First Course in General Relativity

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SUMMARY

The forum discussion centers on the book "A First Course in General Relativity" by Schutz, which is deemed an excellent introductory text but not sufficient for mastering the subject. Participants emphasize that achieving expertise in general relativity requires extensive study, including advanced mathematics such as real analysis, topology, and differential geometry. Recommendations for deeper understanding include exploring more rigorous texts like Wald, while also highlighting the importance of aligning reading materials with personal interests and learning styles.

PREREQUISITES
  • Understanding of basic concepts in general relativity
  • Familiarity with tensor calculus
  • Knowledge of real analysis
  • Basic principles of topology
NEXT STEPS
  • Read "A First Course in General Relativity" by Schutz
  • Study "General Relativity" by Wald for a more mathematical approach
  • Learn tensor calculus to grasp advanced concepts in GR
  • Explore mathematical methods relevant to physics for better comprehension
USEFUL FOR

Students of physics, aspiring theoretical physicists, and anyone seeking to deepen their understanding of general relativity and its mathematical foundations.

kent davidge
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For those who have read Schutz' book A First Course in General Relativity. Can this book be considered as a deep approach on the subject?

Edit ---

Do you think I will become a "expert" in general relativity just by reading books like this one I mentioned above? What time it take for learning all of the theroy? I know you probably will say, it varies from one person to another. But what I'm really asking is for the mean time it generally takes for mastering on the subject. (Sorry for my poor English.)
 
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kent davidge said:
Can this book be considered as a deep approach on the subject?

No. But it's an excellent first course.

Do you think I will become a "expert" in general relativity just by reading books like this one I mentioned above?

No.

What time it take for learning all of the theroy?

ALL the theory? That would take multiple lifetimes.
 
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micromass said:
No. But it's an excellent first course.
No.
ALL the theory? That would take multiple lifetimes.
So what can I do, what books can I read to acquire more and more knowledge on GR?
 
kent davidge said:
So what can I do, what books can I read to acquire more and more knowledge on GR?

First things first. Start by reading Schutz and then ask for a deeper book. You might want to start learning math though. If you'll want to know the math deeply and rigorously (not necessary for physicists, but I would personally recommend it), you'll need to do real analysis, topology and differential geometry.
 
micromass said:
First things first. Start by reading Schutz and then ask for a deeper book. You might want to start learning math though. If you'll want to know the math deeply and rigorously (not necessary for physicists, but I would personally recommend it), you'll need to do real analysis, topology and differential geometry.
Thank you. Can you suggest me a book more deeper than Schutz?
 
kent davidge said:
Thank you. Can you suggest me a book more deeper than Schutz?

I can, but I don't see the point. Read through Schutz first and then you should tell us what you liked about his approach and disliked, and what you want to study in more detail. Maybe you're interested in a very mathematical approach, in which Wald would be an obvious choice. Or maybe you are interested in something entirely different.
You see, I don't consider a book good because it is deep. I consider it good if it aligns with your personal interests and reading style.
 
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micromass said:
I can, but I don't see the point. Read through Schutz first and then you should tell us what you liked about his approach and disliked, and what you want to study in more detail. Maybe you're interested in a very mathematical approach, in which Wald would be an obvious choice. Or maybe you are interested in something entirely different.
You see, I don't consider a book good because it is deep. I consider it good if it aligns with your personal interests and reading style.
Ok. I've actually read that book once. I find it hard to understand the concepts of tensors, Reimann Curvature Tensor, Transformation of bases, etc. Do you consider good the way by which the autor explain these concepts? Or maybe can you suggest me other book that I can learn through and after go back to Schutz for applying what I learned in GR?
 
kent davidge said:
Ok. I've actually read that book once. I find it hard to understand the concepts of tensors, Reimann Curvature Tensor, Transformation of bases, etc. Do you consider good the way by which the autor explain these concepts? Or maybe can you suggest me other book that I can learn through and after go back to Schutz for applying what I learned in GR?

Can you tell me in more detail why you found those concepts hard? I have to know exactly what's bugging you if I am to give you a recommendation useful to you.
 
micromass said:
Can you tell me in more detail why you found those concepts hard? I have to know exactly what's bugging you if I am to give you a recommendation useful to you.
I'm shy to talk to you because my English is poor. I hope you understand. Well, sometimes they omitted steps in their derivation. For example, I found there an derivative when they were deriving the volume in a locally flat spacetime that I've never seen before.

BUT it is really not the problem, because it's simply to search for answers, like the issue I mentioned earlier would be "how to derive a function of several variables". What bother me is that the book fail in give examples of what they presents. They just do the math and not give worked problems in physics situations (I've no seen that up to the page I've read). Thus it's difficult to me for associating the significance and the function of, say, a gradient on a manifold, etc.
 

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