Undergrad What Does the Ricci Tensor Reveal About Einstein's Field Equations?

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The Ricci tensor is a contraction of the Riemann tensor and plays a crucial role in Einstein's Field Equations by summarizing the curvature of spacetime due to mass-energy content. Its mathematical significance lies in its ability to provide insights into gravitational effects in general relativity. However, the discussion raises concerns about the physical interpretation of tensors, suggesting that assigning measurable properties to them may be problematic. The conversation also references additional resources for deeper understanding. Ultimately, the Ricci tensor is essential for understanding the geometric aspects of gravity in the context of general relativity.
AleksanderPhy
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Hello
I've been have been done some research about Einstein Field Equations and I want to get great perspective of Ricci tensor so can somebody explain me what Ricci tensor does and what's the mathmatical value of Ricci tensor.
 
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AleksanderPhy said:
Hello
I've been have been done some research about Einstein Field Equations and I want to get great perspective of Ricci tensor so can somebody explain me what Ricci tensor does and what's the mathmatical value of Ricci tensor.
It is simply a contraction of the Riemann tensor, in fact it is the only contraction that really makes sense because of symmetry constraints.

By the way trying to assign physically measurable properties to a tensor is questionable, at least in my mind.
 
MeJennifer said:
By the way trying to assign physically measurable properties to a tensor is questionable, at least in my mind.

Why ?
 
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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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