Special and general relativity resources

In summary, the author recommends carrol's online notes as a good starting point for learning general relativity. The book is available at most American and Canadian universities, but is not usually found in bookstores.
  • #1
Terilien
140
0
Hello I am a high school student who's interested in general relativity and would like to know about some good books. I know vector calculus, a bit of the calculus of variations, a bit about vector spaces and linear algebra, and of course and introductory knowledge of special realtivity. I also have some knowledge of ordinary differential equations and ordinary systems, though I can't claim to be very well versed.

I've recently learned about tensors, though my knowledge is still very elementary. I prefer the component free approach as I find it more rigorous and beautiful(however as I've said I still know very little as the notation has kept me from getting very far).

I'm looking for something that is mostly informal and that doesn't assume that I know the notation before hand. It would be necessary for it to devellop the necessary tensor calculus and diff geom in an informal way. I would be happiest if they formalized the material after a discussion of the intuition and motivation behind a concept.

I'm not exceptionally bright, but I'm very eager and willing to learn.

BTW, I've already read portions of a first course in general realtivity. The first chapter was very good(learnt the basic goemetrical aspects from it). The later chapters however had very confusing notation. I have very little formal training you see.

Anyway I'm rambling. If you need more information please don't hesitate to ask.

Peace out.

EDIT: If it covers other aspects of physics(related), then that would be a plus.
 
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  • #2
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  • #3
quasar987 said:
Hey,

Check out carrol's online notes and especially his 24 pages No-Nonsense intro to general relativity.

http://pancake.uchicago.edu/~carroll/notes/

Zip it in and zip it out!


That's in postscript? How can I run postscript? Is it really that good? I heard that his book is based on it.

i'm short on money now, so yes lecture notes should do. For now though, I'm reading explroing black holes til I've mastered all of the prerequisite tensor calculus and diff geom.

So how do you run postscript?

I'm interested in spacetime and geometry the book, but it's not available in Canada. How unlucky I am.
 
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  • #4
In the paragraph above the ps links there is this sentence
Other formats: if you don't like postscript, the notes are available in html from "Level 5" at Caltech, or in pdf from arxiv.org.

Click on the link, and it takes you to the notes in pdf from arxiv
 
  • #5
http://math.ucr.edu/home/baez/RelWWW/undergrad.html [Broken]

...and when you're well-prepared

http://math.ucr.edu/home/baez/RelWWW/grad.html [Broken]
 
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  • #6
Terilien said:
How can I run postscript?

Since many physics documents are distributed as postscript, it might be good to install a "Postscript viewer" like Ghostview/Ghostscript, http://www.cs.wisc.edu/~ghost/ , which can also read and convert to and from pdf.

If you are really opposed to this, you might try an online postscript viewer: http://view.samurajdata.se/ [Broken] or converter like http://www.ps2pdf.com/convert/convert.htm
 
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  • #7
Terilien said:
That's in postscript?I'm interested in spacetime and geometry the book, but it's not available in Canada. How unlucky I am.

:grumpy: Poor unlucky guy, all Canadians live in igloos, and bookcases don't fit inside igloos.

I'm not sure what you mean by the above comment. This book is availabe at the libraries of most Canadian universities, as it is at the libraries of most American universities. It isn't available at most Canadian and American municipal libraries.

If you want to buy this book, you won't find this book in most bookstores in the US. University bookstores, and Borders and Barnes and Noble that cater to university populations *might* stock this book.

The same is true in Canada (replacing Borders and Barnes and Nobles with Chapters/Indigo). In fact, I bought my copy of this book off the shelf from the University of Toronto bookstore. Any Chapters/Indigo/Coles will order this book for you, and you can even do this on-line and have it delivered to your door. I did this for Hartle's relativity book.

I now live in Saint John, New Brunswick, and, previously, I lived in Quebec, Ontario, and Manitoba. At no time was I in a position that I couldn't purchase advanced physics and math books.
 
  • #8
Firstly are there books that explain all the notation beforehand.

Also what I mean was that I couldn't find the book at any of the Canadian versions of american webistes, like amazon.com. I'm used to rodering things. I guess I'll need to go to the u of t bookstore.
 
  • #9
Terilien said:
Also what I mean was that I couldn't find the book at any of the Canadian versions of american webistes, like amazon.com. I'm used to rodering things. I guess I'll need to go to the u of t bookstore.

Sorry, but to my ear, it sounded like you said you were unlucky to live in Canada.

I bought the book in September, 2004, so it might not still be there, In any case, If you live in the area, U ot T bookstore is a good (used to be great, but now there's too much on-line competition) to browse. Might sure to check both dowstairs (where the texts for courses are located) and upstairs (where general, including technical, books are located.
"[URL[/URL]
amazon.com[/URL]

http://www.chapters.indigo.ca/books/item/books-978080538732/0805387323/Spacetime-and-Geometry-An-Introduction-to-General-Relativity?ref=Search+Books%3a+'spacetime+and+carroll'&sterm=spacetime%7ccarroll+-+Books
 
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  • #10
Based on what i wanted, which book would better to start with, MTW or spacetime and geometry?
 
  • #11
Terilien said:
Based on what i wanted, which book would better to start with, MTW or spacetime and geometry?

Everybody is different, so: different things work for different people; different people will recommend different books.

I recommend that you learn special relativity first, either from A Traveler's Guide to Spacetime by Moore, or from Spacetime Physics by Taylor and Wheeler.

In this https://www.physicsforums.com/showpost.php?p=1075776&postcount=11" of links, I said more about learning GR.

In any event (Pun intended!), you have made a great start.

And keep asking questions here.

Welcome to Physics Forums!
 
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  • #12
A word of warning. You've gotten some fairly decent math training for a high schooler, but this is physics. You won't really master it without going deep into the bowels of physics where everyone divides by dt whenever they feel like it.
 
  • #13
most of the math I learned was within the context of physics. That's why i expressed concern over mathematical notation. Of course i ten to do math within a slightly more rigorous framework. Actually, I was terrible at math until I began studying mechanics.

EDIT: Define fairly decent.
 

1. What is the difference between special and general relativity?

Special relativity deals with the relationship between space and time in the absence of gravity, while general relativity includes the effects of gravity on the fabric of space-time.

2. How did Einstein come up with the theory of relativity?

Einstein developed the theory of special relativity in 1905 while working as a patent clerk. He later expanded on this theory to include gravity in the theory of general relativity in 1915.

3. What are some practical applications of relativity?

Relativity has been used to develop GPS technology, improve our understanding of the structure of the universe, and has been confirmed through numerous experiments and observations.

4. Can anyone understand the theory of relativity?

While the equations and concepts of relativity can be complex, the basic principles can be understood by anyone with a basic understanding of mathematics and physics.

5. Are there any resources available for learning about relativity?

Yes, there are many resources available for learning about relativity, including books, online courses, and videos. Some universities also offer courses specifically on special and general relativity.

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