Topography of spacetime over time.

In summary: The universe was too hot and too dense for the formation of atoms to occur. As the universe expanded and cooled, protons and neutrons were able to form and eventually combine to form hydrogen atoms. During this time, the curvature of spacetime was affected by the distribution of matter. As matter condensed to form stars and galaxies, the spacetime deformation also changed. Gravitational length contraction and dilation can occur in areas with high mass concentrations, but the overall effect is negligible compared to the overall curvature of spacetime. As for the perception of time passing more quickly in the early universe, this is a bit of a tricky concept as time is relative and depends on the observer's frame of reference. However, it is true that the expansion
  • #1
D.S.Beyer
50
2
"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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  • #2


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.
 

Related to Topography of spacetime over time.

1. What is topography of spacetime?

The topography of spacetime refers to the structure and shape of the fabric of space and time. It is a conceptual model used in physics to describe the curvature and geometry of the universe.

2. How does topography of spacetime change over time?

The topography of spacetime is not static and can change over time due to various factors such as the presence of matter and energy, gravitational forces, and the expansion of the universe. These changes can cause the curvature of spacetime to shift and evolve.

3. What is the role of gravity in the topography of spacetime?

Gravity is the fundamental force that affects the topography of spacetime. It is the result of the curvature of spacetime caused by the presence of matter and energy. The more massive an object is, the greater its gravitational pull and the more it affects the shape of spacetime.

4. How is the topography of spacetime measured?

The topography of spacetime is measured using mathematical models and equations, such as Einstein's field equations, which describe the relationship between the curvature of spacetime and the distribution of matter and energy. It can also be indirectly measured through observations of the effects of gravity on objects and light.

5. Can the topography of spacetime be mapped?

Yes, the topography of spacetime can be mapped through various methods, such as gravitational lensing, which uses the bending of light by massive objects to create a visual representation of the curvature of spacetime. However, due to the complex and ever-changing nature of spacetime, a complete and accurate map is not yet possible.

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