A First Course in General Relativity

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Discussion Overview

The discussion revolves around the book "A First Course in General Relativity" by Schutz, focusing on its depth and suitability for learning general relativity (GR). Participants explore the challenges of mastering GR, the importance of foundational mathematics, and seek recommendations for further reading.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification
  • Mathematical reasoning

Main Points Raised

  • Some participants question whether Schutz's book can be considered a deep approach to GR, with one asserting it is not deep but an excellent introductory text.
  • Concerns are raised about the feasibility of becoming an expert in GR solely through reading books like Schutz, with one participant suggesting that mastering all the theory would take multiple lifetimes.
  • Participants discuss the need for a solid mathematical foundation, recommending subjects such as real analysis, topology, and differential geometry for a deeper understanding of GR.
  • There is a suggestion to read Schutz first and then evaluate personal interests to find a more suitable advanced text, with Wald mentioned as a potential choice for those interested in a mathematical approach.
  • One participant expresses difficulty in understanding concepts like tensors and the Riemann Curvature Tensor, questioning the clarity of Schutz's explanations and seeking alternative resources to aid comprehension.
  • Another participant emphasizes the importance of identifying specific difficulties in understanding before recommending further reading materials.
  • Concerns are raised about the lack of worked examples in Schutz's book, which makes it challenging for some to relate mathematical concepts to physical situations.
  • A suggestion is made that a Mathematical Methods course might be beneficial as a prerequisite for understanding GR better.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the depth of Schutz's book or the best approach to mastering GR. There are multiple competing views regarding the necessity of mathematical preparation and the effectiveness of Schutz's explanations.

Contextual Notes

Participants express varying levels of comfort with mathematical concepts and the clarity of explanations in Schutz's book. There is an acknowledgment of the need for foundational mathematics, but specific recommendations vary based on individual learning styles and preferences.

Who May Find This Useful

This discussion may be useful for individuals seeking to understand the depth of introductory texts in general relativity, those considering their mathematical preparedness for studying GR, and readers looking for recommendations on further reading materials.

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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