Graduate How Do You Derive the Riemann Component?

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The discussion focuses on deriving the Riemann component by applying the definition of the covariant derivative, specifically ##\nabla_a e_b##, in terms of connection coefficients. Participants seek clarification on the steps needed to express this derivation properly. The conversation highlights the importance of understanding the relationship between the covariant derivative and the Riemann curvature tensor. Due to its similarity to an earlier discussion, the thread has been closed for further comments. The emphasis remains on the mathematical formulation and definitions involved in the derivation process.
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This appears in the Charles&Wheeler book exercise 11.3.
Can someone please show how to write
245663
as
245664
?
 
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Just apply the definition of ##\nabla_a e_b## in terms of the connection coefficients. This is the only thing there is to it.
 
Because of the similarity to a previous thread, this thread is now closed.
 

Thread 'EPR revisited'

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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