Graduate Can Representing Ideas be Possible?

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SUMMARY

The discussion centers on the challenges of computing the Einstein tensor using the FLRW metric, specifically referencing Chapter VII of "Introduction to Gravitation" by Venzo De Sabbata and Maurizio Gasperini. Participants emphasize the importance of accurately applying the field equations and suggest using computational tools like Maxima to facilitate the calculations. The conversation highlights the necessity of detailing specific mathematical difficulties to receive effective assistance.

PREREQUISITES
  • Understanding of General Relativity (GR) principles
  • Familiarity with the FLRW metric
  • Knowledge of Einstein's field equations
  • Experience with mathematical software, specifically Maxima
NEXT STEPS
  • Study the computation of the Einstein tensor for various metrics
  • Learn how to use Maxima for symbolic computation in GR
  • Review Chapter VII of "Introduction to Gravitation" for detailed examples
  • Practice LaTeX for formatting mathematical equations and expressions
USEFUL FOR

Students and researchers in theoretical physics, particularly those focusing on General Relativity and cosmological models, will benefit from this discussion.

BiaCarvalho
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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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