How to find that the universe is expanding from general theory of relativity

In summary, while the original equations of general relativity implied either an expanding or contracting universe, they did not predict the expansion of the universe. The expansion was discovered by astronomers through observations of galaxies moving away from the Earth. This expansion does not mean that the universe is expanding into empty space, but rather that the space itself is stretching. The original equations also did not allow for a static universe, leading Einstein to introduce the cosmological constant. However, even with this term, a static universe is not possible due to instability. Therefore, the general theory of relativity does not provide a direct way to find that the universe is expanding.
  • #1
manvirsingh
9
0
1 how to find that the universe is expanding from general theory of relativity

2 how to apply general theory of relativity to find that the universe is expanding
 
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  • #2
How are (1) and (2) different?
 
  • #3
manvirsingh said:
1 how to find that the universe is expanding from general theory of relativity

2 how to apply general theory of relativity to find that the universe is expanding

As far as I know general relativity doesn't predict that the Universe is expanding. The expansion was discovered by astronomers. Galaxies in all directions are for the most part moving away from the Earth, and the farther away the faster they move. So the Universe is expanding.

It is NOT however expanding into empty space. Every part of the Universe has more or less the same number of galaxies as every other part. They are getting farther apart: space is stretching so that there is more of it while the amount of matter stays the same.
 
  • #4
The original equations of general relativity implied either an expanding or contracting universe...Einstein tried to make his formulation match what he thought was observed at the time, a static universe, by introducing the cosmological constant.

More here:
http://en.wikipedia.org/wiki/Cosmological_constant#History
 
  • #5
how to apply "The original equations of general relativity"
 
  • #6
manvirsingh said:
how to apply "The original equations of general relativity"

I think what Naty1 meant was that if you take the Einstein Field Equation without a cosmological constant, which was how it was originally formulated, there are no solutions that admit a static universe; put another way, there are no static solutions with a non-zero stress-energy tensor, so if there is matter in the universe (which we believe there is :wink:), then according to the original EFE the universe cannot be static; it must be either expanding or contracting. There are other reasons to believe that the universe is not contracting, so the original EFE basically predicts that the universe is expanding. At the time, the universe was believed to be static, so Einstein added the cosmological constant term to the EFE to allow static solutions with non-zero stress-energy.
 
  • #7
Even with non-zero cc a static universe is not possible b/c this solution corresponds is unstable (like a saddle-point); any small perturbation of such a solution would either create expansion or contraction.
 
  • #8
...it must be either expanding or contracting.

That is exactly what I meant...and post #7 adds the final description...so

how to find that the universe is expanding from general theory of relativity

you can't...or that's not the way it happened...the expanding (rather than contracting) universe was shown by the observations of Hubble and Slipher.
 

What is the general theory of relativity?

The general theory of relativity is a theory of gravity developed by Albert Einstein in 1915. It explains how gravity works as a curvature of space and time caused by the presence of massive objects.

How does the general theory of relativity suggest that the universe is expanding?

According to the general theory of relativity, the universe is expanding because the space between galaxies is stretching. This is due to the presence of dark energy, a mysterious force that is causing the expansion to accelerate.

What evidence supports the idea that the universe is expanding from the general theory of relativity?

One of the key pieces of evidence for the expanding universe comes from the observation of distant galaxies. The light from these galaxies is redshifted, meaning that the wavelengths of light are stretched. This is consistent with the idea of an expanding universe.

Can the general theory of relativity explain the expansion of the universe without dark energy?

No, the general theory of relativity alone cannot explain the expansion of the universe. In order to account for the observed acceleration of the expansion, dark energy is needed. However, there are ongoing efforts to develop alternative theories that could explain the expansion without the need for dark energy.

What implications does the expanding universe have for the future of the universe?

The expanding universe suggests that the universe will continue to expand indefinitely, and the expansion will likely accelerate. This means that the distance between galaxies will continue to increase, and eventually, the universe will become extremely spread out and cold.

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