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

[cpamieta]

Homework Statement

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

Homework Equations

$$\Omega$$M=...
$$\Omega$$$$\Lambda$$=...

The Attempt at a Solution

"The expansion history of the universe depends on the amount of matter (gravity), quantified
by $$\Omega$$M
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

 

[phyzguy]

It's not static, it's expanding.

 

[cpamieta]

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

 

[cpamieta]

nvm what i was thinking would not work

 

[paranormal]

for your help!

To show that the universe is static and not expanding, we need to look at the current values of the parameters \OmegaM and \Omega\Lambda. If the universe is static, then the amount of matter and dark energy must be balanced and cancel each other out, resulting in a value of zero for the expansion rate of the universe. This means that \OmegaM=\Omega\Lambda=0, indicating a static universe.

To confirm this, we can look at observational data such as the cosmic microwave background radiation, which is a remnant of the early universe. By analyzing the patterns in this radiation, we can determine the amount of matter and dark energy in the universe. If \OmegaM=\Omega\Lambda=0, then the expansion rate of the universe should be zero, and the patterns in the cosmic microwave background radiation should not show any evidence of expansion.

Additionally, we can also look at the redshift of distant galaxies. If the universe is static, then there should be no redshift, as this is a result of the expansion of space. Therefore, if we observe no redshift in distant galaxies, it would support the idea of a static universe.

In summary, to show that the universe is static and not expanding, we can use observational data and theoretical calculations to determine the values of \OmegaM and \Omega\Lambda. If these values are both zero, then it would indicate a static universe. However, it is important to note that the current consensus among scientists is that the universe is indeed expanding, and the evidence for this is overwhelming. Therefore, it is unlikely that we would find a static universe.