How to show that the universe is static( not expanding)

cpamieta
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Homework Statement


how can i show the universe is static and not expanding, how it really is.


Homework Equations


\OmegaM=...
\Omega\Lambda=...



The Attempt at a Solution



"The expansion history of the universe depends on the amount of matter (gravity), quantified
by \OmegaM
M, and dark energy (anti-gravity), given by" \Omega\Lambda
So would setting these two formulas = to each other and solving for the cosmological constant, that would give me a static universe right? I am like 90% sure its right but want some conformation.
thanks
 
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It's not static, it's expanding.
 
i know its expanding lol just think of this as different universe that's static. We have a project and one part of it is to create like a homework problem. it has to be on dark energy, so i figured my problem would be using that formula and showing the universe is static, like what Einstein thought
 
nvm what i was thinking would not work
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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