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Thank you

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- Thread starter tetraedro
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- #1

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Thank you

- #2

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Thank you for the answer. I've read on the paper "General Relativity with torsion: Extending Wald's Chapter on Curvature", the following sentence:

"...If [itex] T^{z} _{xy}>0 [/itex] (*where* [itex] T^{z} _{xy} [/itex] *is the torsion tensor*), parallel transport along the x direction will cause v (*parallely transported vector*) to rotate about the x-axis in a left-handed manner".

Is it correct? This is the reason why I thought that the indices meant spatial directions.

"...If [itex] T^{z} _{xy}>0 [/itex] (

Is it correct? This is the reason why I thought that the indices meant spatial directions.

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- #3

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- #4

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some one must have removed the "answer" because I saw it here not to long ago.

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- #6

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- #7

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I seem to not be able to read certain postings that others apparently can see.

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Yes, there was a reply (that was #2) that was apparently deleted or withdrawn from the thread.

In any case,

here is the article mentioned above:

http://theory.uchicago.edu/~sjensen/teaching/tutorials/GRtorsion.pdf [Broken]

.. on my list of things to read carefully.

FYI: Here are some recent discussions in PhysicsToday:

http://ptonline.aip.org/journals/doc/PHTOAD-ft/vol_60/iss_3/16_2.shtml [Broken]

This may be useful (hopefully this obscure link to Nakahara's text works):

http://books.google.com/books?id=cH...ts=2yZvxayLxl&sig=-JCWea3Vpekl7GaEnLsC8yAhNSo

notes by Visser

http://www.mcs.vuw.ac.nz/courses/MATH464/2006T1/Lecture-Notes/notes.pdf

In any case,

here is the article mentioned above:

http://theory.uchicago.edu/~sjensen/teaching/tutorials/GRtorsion.pdf [Broken]

.. on my list of things to read carefully.

FYI: Here are some recent discussions in PhysicsToday:

http://ptonline.aip.org/journals/doc/PHTOAD-ft/vol_60/iss_3/16_2.shtml [Broken]

This may be useful (hopefully this obscure link to Nakahara's text works):

http://books.google.com/books?id=cH...ts=2yZvxayLxl&sig=-JCWea3Vpekl7GaEnLsC8yAhNSo

notes by Visser

http://www.mcs.vuw.ac.nz/courses/MATH464/2006T1/Lecture-Notes/notes.pdf

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- #9

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I have another question about torsion, maybe someone can help me.

I have been studying the Einstein-Cartan extension of general relativity and I have seen that apparently (as far as I know) no one reports the mathetical procedure one has to follow in order to derive the field equation satisfied by torsion. Since I know how this is done for the standard Einstein field equation, I wonder if some of you knows the corresponding procedure for the Einstein-Cartan field equation or can suggest me a book or a paper where I can find it. Thanks

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