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/sci/ - Science & Math

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1200651 No.1200651 [Reply] [Original]

Sup, does anyone know a book about general relativity that doesn't use coordinate expressions all the time? I didn't learn exterior algebra and all that stuff to find out that some of the books happily introduce it, but then don't really apply it when it comes to relativity.

>> No.1200780 [DELETED] 

Scotty, bring up my post.

>> No.1200796

No HW threads.

>> No.1200822

anon clearly has no clue who josef is, or what hw is, josef, i'm sorry but you're mistaking /sci/ fro a place with people who actually know about science, i would have thought you'd have learnt this.

>> No.1200825

Sorry, man. Can't help you.

The teaching of General Relativity has been banned as a Jewish science in my University.

Well that's probably not the reason, but it's been removed.

But I don't really understand your question, are you complaining that most books use Einstein notation on components instead of writing tensor algebra?

>> No.1200829

go on the rhizome irc and ask!

>> No.1200831

>>1200780
>>1200822
samefag

>> No.1200835

>>1200647
Ｗ W ｗ . Ａ n o ｎ Ｔ Ａ ｌ k . S Ｅ puvphmbkbgsj n e dpm pr vztrolluostppfgvseyazkz ma lmk nf

>> No.1200842

>>1200831
only not, notice the lack of tripcode.
newfag doesn't know /sci/

>> No.1200858

Get a math book on Riemannian geometry if you're into that. It's nice to know that you can use exterior algebra and stuff to formulate things, but this is hardly helpful when it comes to specific physical problems.

>> No.1200862

>>1200842
>>implying you can't delete and re-enter tripcodes

newfagsamefag that doesn't know 4chan.

>> No.1200876

The Geometry of Physics by Frankel is pretty standard when it comes to physical differential geometry.

I kind of lack physical knowledge, I do love differential geometry though.

>> No.1200886

http://www.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/index.html

No Maths involved here, but it's the most basic shit you'll ever find.

>> No.1200893

>>1200862
not too newfag, still not samefag, but could never be arsed with trips.

>> No.1200975

>>1200822
Clearly me samefagging. I'm really desperate, you know.

>>1200825
I complain about tensor notation. If you use indices, you're working in a specific coordinate frame. It may be invariant under transformation, but I think coodinate-free expressions are far more elegant. I haven't found a book yet that doesn't use tensor component notation, or at least doesn't it primarily but just for specific calculations.
For example, I've seen some texts on classical electromagnetism (i.e. no QFT) that work out most of the electrodynamics using no coordinate frames; in order to get real values out, they expanded their formulas in terms of a basis if needed. That's what I want for GR.

>>1200876
Thanks, but I've already got that one, PDF and paperback. It's a really nice introduction into differential geometry, at least the first part. However, the placement of the Hodge operator on page ~360 almost made me bite my carpet.
The "problem" here is that it's more about the maths than the physics. Physics plays the role of a useful example here; I'd like to have something like the other way round, GR using the math instead of math using GR as a possible application.

>> No.1201000

>>1200975
Alright, can't help you then. I know literally nothing of GR.

>> No.1201003

>>1201000
Thanks anyway.

>> No.1201219

Another bump.

>> No.1201271

impossible relativity is all about coordinate transformations. relativity without it would be newtonian mechanics

>> No.1201280

>>1200650

W w Ｗ . ａ ｎ Ｏ Ｎ Ｔ A L Ｋ . s Ｅ kaovn yq j h xj plx dwm geq gmennswyayk g

>> No.1201319

>>1201271
Nope. I know such formalisms exist in GR, but I just can't find a book.

(Electromagnetism is also all about coordinate frames, as E and B transform when switching frame. However, there is no frame at all in <span class="math">\mathrm dF=0;\;\mathrm d*F=4\pi S[/spoiler], though these equations describe all the electromagnetism as well.)

>> No.1201360
File: 7 KB, 841x202, S.png [View same] [iqdb] [saucenao] [google]
1201360

>>1201319
(Pic related, though I have no idea what it says. Could be the field equations, the action integral, entropy, ...)

>> No.1201595

bump :(