SR/GR: What to study after A traveler's guide to spacetime ?

In summary, after completing an introductory course on special relativity using the book "A traveler's guide to spacetime" by Moore, the individual is looking for a book to continue their study of it and slowly move on to general relativity. Suggestions for appropriate follow-up books include French, Rindler, Woodhouse, Ludvigsen, Misner-Thorne-Wheeler, Wald, and Hawking-Ellis. It is recommended to learn to reason with spacetime diagrams, interpret physically and geometrically, and calculate with tensors. Other suggested prerequisites include a course in classical mechanics, a Griffiths level E&M course, and vector calculus. Resources such as Taylor and Wheeler's "Spacetime Physics" and Woodhouse's online
  • #1
Mr.Miyagi
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SR/GR: What to study after "A traveler's guide to spacetime"?

Just recently I finished an introductory course on special relativity. The book we used was "A travelers guide to spacetime" Moore. The subject got me hooked and I am now looking for a book to continue my study of it, slowly moving to general relativity. Would books like French, Rindler or Woodhouse be appropriate follow-ups to Moore or is the content of these books comparable to Moore? Would reading an introductory book on general relativity perhaps be more fruitful, instead of trying to learn more about special relativity?

I am a freshman physics student and possibly relevant courses I have taken are calc 1&2 (I guess, equivalent to 1,2 and 3 in other countries), linear algebra 1, a first course in classical mechanics, thermodynamics, some quantum mechanics and astronomy and, of course, special relativity.

I would love to hear about your opinions and suggestions.
 
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  • #2


General strategy:
Learn to reason with spacetime diagrams, interpret physically and geometrically, and calculate with tensors.I would suggest Woodhouse SR... for use of tensors and relativistic electromagnetism.
Then, maybe his GR book... and the book by Ludvigsen.
At some point, Misner-Thorne-Wheeler, Wald, Hawking-Ellis.

It would also be good to study from Taylor and Wheeler's first (maroon) edition of Spacetime Physics.

Moore is working on a new textbook for GR.
 
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  • #3


Woodhouse it is then. It would be particularly fitting, since I just enrolled for E&M1.

I've also read positive reviews of Schutz's GR book. How would that compare to your suggested books? Also, I have read some rather negative reviews of Taylor and Wheeler, the main concern being its "average Joe" target audience. Or would that only apply to later editions?
 
  • #4


Mr.Miyagi said:
I've also read positive reviews of Schutz's GR book. How would that compare to your suggested books?
I liked it a lot, but I liked it for the part about special relativity, and its introduction to tensors. Those parts are excellent, but when it was time to move on to GR, I found myself reading Wald instead. Wald is much more mathematical, and does a much better job of explaining GR in my opinion, but others have complained that it's too difficult to be used as an introductory text. To some extent it's a matter of taste. I really liked Wald, and yes, it is difficult, but it's mostly because he's not dumbing it down like some other books do, and I consider that a good thing.
 
  • #5


although Fredrik already point out that Schutz's GR is excellent, I still want to say: it is an excellent book! It is hard but not too hard, and his derivation is pretty easy to follow (and I think he is actually really humor in his book :D!). Also like Fredrik say, he emphasize a lot on SR and Tensor. And I think it would be nice to use it beside Gravitation, by Misner et al (just the part which labels 1).
 
  • #6


I like Schutz's book as well... and it seems to fit as a prelude to Misner Thorne Wheeler.

The thing I like about Woodhouse's text is that it is more succinct... and one learns techniques in doing tensor calculations.
(Maybe that's not ideal for a beginner... depending on your background.)

(The 1966 maroon) Taylor and Wheeler was probably the first introductory text to really develop thinking in terms of spacetime and spacetime diagrams... rather than merely, e.g., Lorentz Transformations, length contraction formulas, etc...
 
  • #7


This is all very helpful. Thank you for your time!
 
  • #8


I, for one, think, at the least, a course in Classical Mechanics (Lagrangian/Hamiltonian), a Griffiths level E&M course, and vector calculus are important prerequisites for studying GR.
 
  • #10


nicksauce said:
I, for one, think, at the least, a course in Classical Mechanics (Lagrangian/Hamiltonian), a Griffiths level E&M course, and vector calculus are important prerequisites for studying GR.
That's good to know. I'm taking the latter two this semester, but unfortunately I'll have to wait until the last semester of the second year for the more advanced classical mechanics. I guess that's all the more reason to get a head start on that.

atyy said:
Nice resource! Thanks a bunch. But I guess the lecture notes aren't as comprehensive as the textbook, are they?
 

1. What is the difference between SR and GR?

Special Relativity (SR) is a theory that explains the relationship between space and time in a flat, unchanging universe. General Relativity (GR) is a theory that explains the relationship between matter and gravity in a dynamic universe. SR is a special case of GR, where gravity can be ignored.

2. What should I study after reading "A Traveler's Guide to Spacetime"?

After reading a beginner's guide to spacetime, it is recommended to study the mathematics behind SR and GR. This includes understanding concepts like tensors, manifolds, and the equations of motion in curved spacetime. It is also helpful to study the historical development of the theories and their applications in modern physics.

3. How can I apply SR and GR in my research or experiments?

SR and GR have many applications in various fields of science, including astrophysics, cosmology, and particle physics. For example, the theory of relativity is crucial in understanding the behavior of objects near the speed of light, and it is also used in GPS technology. In experiments, scientists can test and verify predictions made by SR and GR, such as the bending of light by massive objects.

4. Are there any current debates or controversies surrounding SR and GR?

While SR and GR are widely accepted theories, there are ongoing debates and discussions about their limitations and potential incompatibility with other theories, such as quantum mechanics. Some scientists also question the existence of dark matter and dark energy, which are concepts often used in GR to explain the behavior of the universe.

5. How can I continue to learn about SR and GR?

There are numerous resources available for studying SR and GR, including textbooks, online courses, and scientific journals. It is also helpful to attend conferences and workshops on the topic and engage in discussions with other scientists. Additionally, staying updated on the latest research and developments in the field can provide a deeper understanding of SR and GR.

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