Graduate Reimann Tensor Component Form: Charles&Wheeler

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The discussion revolves around the derivation of the Reimann tensor component form as presented in the Charles & Wheeler book. A participant expresses confusion about the derivation process and requests clarification. Another contributor suggests referring to exercise 11.3 in the book for guidance on the derivation. They recommend working through the exercise and posing more specific questions if difficulties arise. The thread concludes with a note that the initial query was too broad for effective assistance.
berlinspeed
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Can someone explain the component form of the Riemann tensor as shown in the picture?
So I was reading the Charles&Wheeler book and this came out of nowhere:
but how is it derived in the wholeness?
IMG_4634.jpg
 
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I am sorry, but it is unclear to me exactly what you are having problems with. Please be more specific in your questions.
 
berlinspeed said:
how is it derived in the wholeness?

As noted in the book, exercise 11.3 helps you to derive the component form. You should work through that exercise, and then ask more specific questions if you get stuck somewhere. As you ask it here, your question is much too broad.

Thread closed.
 
In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...

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