What Insights Does the Friedmann Equation Offer About Our Universe?

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Discussion Overview

The discussion centers around the Friedmann Equation and its implications for understanding the universe, particularly in relation to cosmological models and the behavior of closed and open universes. Participants explore theoretical aspects, interpretations of mathematical results, and the implications of different cosmological constants.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants express interest in the implications of the Friedmann equations, particularly regarding the nature of closed universes and their potential to recollapse.
  • One participant notes that introductory treatments often overlook the case of a nonzero cosmological constant, which affects the behavior of closed and open universes.
  • Another participant mentions that under the assumption of a zero cosmological constant, a closed universe will always recollapse, while flat or open universes will expand indefinitely.
  • There is a reference to a paper that suggests surprising results regarding the recollapse of some open models and the non-recollapse of some closed models, indicating a complexity in the behavior of these cosmological models.
  • One participant indicates plans to introduce the cosmological constant in future discussions and solve models with a nonzero cosmological constant.

Areas of Agreement / Disagreement

Participants express varying interpretations of the Friedmann equations, particularly regarding the role of the cosmological constant. There is no consensus on the implications of these equations for the fate of the universe, indicating ongoing debate and exploration of the topic.

Contextual Notes

Some statements rely on specific assumptions about the cosmological constant, and the discussion reflects differing perspectives on how these assumptions influence the outcomes of cosmological models.

Arman777
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Greg Bernhardt submitted a new PF Insights post

A Journey Into the Cosmos - The Friedmann Equation
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Continue reading the Original PF Insights Post.
 

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Great start @Arman777. This is part of our student series. If anyone has suggestions or feedback for him he would appreciate it!
 
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Very nice!
 
Drakkith said:
Very nice!
Thanks a lot :)
 
Very interesting post, one that even someone with an art major's understanding of physics can follow along. Like me, heh.

Inre to figure 8 and the crunch; years ago I came across a paper about solving the Friedmann equations by computer and noticed some surprising results. Surprising to me anyway. What do you think of their statement on page 2 --Thus a closed universe, by definition, is one with positive curvature K_0. Closure by itself does not tell us whether or not the universe will recollapse. In Sect. III we will show that in relativistic cosmology some open models recollapse and some closed ones do not."​
 
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chasrob said:
What do you think of their statement on page 2

It's true if there is a nonzero cosmological constant. Most introductory treatments of the Friedmann equations don't consider this case. If the cosmological constant is zero, then a closed universe will always recollapse and a flat or open one will always expand forever; that's why you often see statements along those lines in introductory treatments.
 
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chasrob said:
Very interesting post, one that even someone with an art major's understanding of physics can follow along. Like me, heh.[/I]"​

Thanks for your review, that was my purpose of writing this article.

chasrob said:
Inre to figure 8 and the crunch; years ago I came across a paper about solving the Friedmann equations by computer and noticed some surprising results. Surprising to me anyway. What do you think of their statement on page 2 --Thus a closed universe, by definition, is one with positive curvature K_0. Closure by itself does not tell us whether or not the universe will recollapse. In Sect. III we will show that in relativistic cosmology some open models recollapse and some closed ones do not."​

As PeterDonis said, my case is for ##Λ=0##. But in the next chapters, I' ll introduce the ##Λ## and solve some models when ##Λ≠0##.
 
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