A Can Representing Ideas be Possible?

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The discussion centers on the challenges of representing ideas through the FLRW metric in general relativity. Participants highlight the importance of computing the Einstein tensor, noting that while the process can be tedious, it is fundamental for understanding the metric. Specific references to the book "Introduction to Gravitation" by De Sabbata and Gasperini are made, particularly Chapter VII, which covers non-static models of the universe. Suggestions are offered to seek help by posting specific mathematical difficulties, and the use of computational tools like Maxima is recommended to assist with the calculations. The conversation emphasizes the need for clarity in the mathematical process to effectively represent the concepts involved.
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I was studing the FLRW metric, and I came across the fact that the field equations can be written in the form
imagem_2022-04-27_160952870.png


but I could not develop, is it really possible to represent this way?
 
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BiaCarvalho said:
I was studing the FLRW metric, and I came across the fact...
Where? Please give a reference.
 
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PeterDonis said:
Where? Please give a reference.
Introduction to Gravitation Venzo De Sabbata, ‎Maurizio Gasperini - 1985
 
BiaCarvalho said:
Introduction to Gravitation Venzo De Sabbata, ‎Maurizio Gasperini - 1985
Which chapter/section in particular?
 
PeterDonis said:
Which chapter/section in particular?
Chapter VII - Non-Static Models Of Universe
1.- The Robertson-Walker metric
 
BiaCarvalho said:
I could not develop
What have you tried? The computations are somewhat tedious, but should be straightforward, since you are given the metric and just need to compute its Einstein tensor.
 
PeterDonis said:
What have you tried? The computations are somewhat tedious, but should be straightforward, since you are given the metric and just need to compute its Einstein tensor.
I was trying to do it like in the book, applying the field equation in the first equation of the chapter, I probably got lost in the math so...
 
BiaCarvalho said:
I probably got lost in the math
If you can post specific places in the math where you're having trouble, we could try to help with that. Computing the Einstein tensor of a given metric is a basic task in GR, so it's worth taking the time to work it through in detail for important cases like this one.

There are also computer programs that can help with the computation, such as Maxima.
 
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PeterDonis said:
If you can post specific places in the math where you're having trouble, we could try to help with that. Computing the Einstein tensor of a given metric is a basic task in GR, so it's worth taking the time to work it through in detail for important cases like this one.

There are also computer programs that can help with the computation, such as Maxima.
yes yes... I'm going to do it again and switch to latex, then I'll post it here later :D
 

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