Topography of spacetime over time.

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"Topography" of spacetime over time.

How has spacetime curvature changed since the early universe?

In the beginning, (close to the beginning that is), everything was hydrogen (sort of). That hydrogen was more or less homogeneous save a few little places, that would, after billions of years, would become stars and galaxies.

topography_of_spacetime.jpg


The spacetime deformation of the homogeneous hydrogen was slight but it was also everywhere. As the hydrogen began its life toward stars and galaxies it condensed in places and receded from other places. And so spacetime deformation 'grew' in places the hydrogen condensed and 'lessened' in areas the hydrogen receded.

What can be said about the gravitational length contraction of these new 'empty' areas? Does the act of condensation of matter lead to areas of both contraction near mass and dilation between the condensing areas? Which would translate visually as the areas of mass moving away from each other, would it not? What Doppler or Red Shift effects does gravitational length contraction and dilation have?

Also can we say that relative to now, here on earth, in the milkyway, that time in the early universe was passing more quickly?

Thoughts?

(Also, I posted this is the cosmology section with VERY little response. In general it seems the people in SR&GR forum are much more helpful, professional, and responsive...relatively. :-P)
 
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D.S.Beyer said:
How has spacetime curvature changed since the early universe?

In the beginning, (close to the beginning that is), everything was hydrogen (sort of). That hydrogen was more or less homogeneous save a few little places, that would, after billions of years, would become stars and galaxies.

topography_of_spacetime.jpg


The spacetime deformation of the homogeneous hydrogen was slight but it was also everywhere. As the hydrogen began its life toward stars and galaxies it condensed in places and receded from other places. And so spacetime deformation 'grew' in places the hydrogen condensed and 'lessened' in areas the hydrogen receded.

What can be said about the gravitational length contraction of these new 'empty' areas? Does the act of condensation of matter lead to areas of both contraction near mass and dilation between the condensing areas? Which would translate visually as the areas of mass moving away from each other, would it not? What Doppler or Red Shift effects does gravitational length contraction and dilation have?

Also can we say that relative to now, here on earth, in the milkyway, that time in the early universe was passing more quickly?

Thoughts?

(Also, I posted this is the cosmology section with VERY little response. In general it seems the people in SR&GR forum are much more helpful, professional, and responsive...relatively. :-P)

I don't know if you are really asking a question, but the simple answer is that in the VERY early universe, during the inflationary epoch, the universe was highly curved, whereas not it appears to be essentially flat.

In the beginning, when this was relevant, there was no hydrogen.
 
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