- #1
BiaCarvalho
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- TL;DR Summary
- I was studing the FLRW metric, and I came across the fact that the field equations can be written in the form
but I could not develop, is it really possible to represent this way?
In summary, De Sabbata and Gasperini discuss the Robertson-Walker metric, which is used to describe non-static models of the universe. However, due to the complexity of the mathematics, they find it difficult to develop the metric themselves. They go on to say that there are computer programs that can help with the computation.
but I could not develop, is it really possible to represent this way?
- #2
PeterDonis
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Where? Please give a reference.BiaCarvalho said:
- #3
BiaCarvalho
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Introduction to Gravitation Venzo De Sabbata, Maurizio Gasperini - 1985PeterDonis said:
- #4
PeterDonis
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Which chapter/section in particular?BiaCarvalho said:
- #5
BiaCarvalho
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Chapter VII - Non-Static Models Of UniversePeterDonis said:
1.- The Robertson-Walker metric
- #6
PeterDonis
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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.BiaCarvalho said:
- #7
BiaCarvalho
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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...PeterDonis said:
- #8
PeterDonis
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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.BiaCarvalho said:
There are also computer programs that can help with the computation, such as Maxima.
- #9
BiaCarvalho
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yes yes... I'm going to do it again and switch to latex, then I'll post it here later :DPeterDonis said:
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