A Can Representing Ideas be Possible?

[BiaCarvalho]

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?

 

[PeterDonis]

I was studing the FLRW metric, and I came across the fact...

Where? Please give a reference.

 

[BiaCarvalho]

Where? Please give a reference.

Introduction to Gravitation Venzo De Sabbata, ‎Maurizio Gasperini - 1985

 

[PeterDonis]

Introduction to Gravitation Venzo De Sabbata, ‎Maurizio Gasperini - 1985

Which chapter/section in particular?

 

[BiaCarvalho]

Which chapter/section in particular?

Chapter VII - Non-Static Models Of Universe
1.- The Robertson-Walker metric

 

[PeterDonis]

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.

 

[BiaCarvalho]

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...

 

[PeterDonis]

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.

 

[BiaCarvalho]

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