Topography of Spacetime over time

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SUMMARY

The discussion centers on the evolution of spacetime curvature from the early universe, primarily composed of hydrogen, to the present state. As hydrogen condensed into stars and galaxies, spacetime deformation increased in those regions while decreasing in others. The conversation also explores gravitational length contraction and dilation, questioning the implications of these phenomena on Doppler effects and redshift. Additionally, participants clarify that expansion is a rate rather than a speed, emphasizing the distinction between expansion rates and the speed of light.

PREREQUISITES
  • Understanding of spacetime curvature and its implications in cosmology
  • Familiarity with gravitational length contraction and dilation concepts
  • Knowledge of the inflationary epoch in the context of the universe's expansion
  • Basic grasp of Doppler effects and redshift in astrophysics
NEXT STEPS
  • Research the implications of gravitational lensing on spacetime deformation
  • Study the relationship between mass distribution and spacetime curvature
  • Explore the mathematical framework of the inflationary epoch in cosmology
  • Learn about the effects of redshift on observational astronomy
USEFUL FOR

Astronomers, physicists, and students of cosmology interested in the dynamics of spacetime and the evolution of the universe.

D.S.Beyer
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Lets think about how spacetime curvature has 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 homogenous 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 homogenous hydrogen was slight but it was also everywhere. As the hydrogen began its life toward stars and galaxies it condensed in places and left other places. And so spacetime deformation 'grew' in places the hydrogen condensed and 'lessened' in areas the hydrogen left.

What can say about the gravitational length contraction of these areas? The simple act of condensation of matter leads 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 much more quickly? How does this relate to the inflationary epoch, where everything seemed to move faster than light to get where it is today? Does the faster time balance the faster than light expansion?

Thoughts?
 
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There is no such thing as faster than light expansion. It really boggles the mind that any physicist has ever seriously thought that would be a reasonable thing to call it.

Expansion is not a speed. It's a rate. Saying that an expansion is faster than the speed of light is rather like saying that 3000 RPM's is faster than 70mph. It doesn't make any sense.
 
OP probably means the expansion rate between two points is high enough that they become causally disconnected.
 

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