Is there a formula for the shrinking of the universe due to object curvature?

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Discussion Overview

The discussion revolves around the concept of how the curvature of objects in space might influence the size of the universe, as suggested by Einstein's general relativity. Participants are exploring whether there is a specific formula that quantifies this relationship, particularly in the context of the cosmological constant and its implications for the universe's expansion or contraction.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses curiosity about a formula that represents the idea that the curvature of objects in space could lead to a shrinking universe, referencing Einstein's cosmological constant.
  • Another participant provides a specific equation, \(\ddot V / V = -1/2(\rho+P_x+P_y+P_z)\), suggesting it relates to the discussion but does not elaborate on its derivation or implications.
  • A subsequent participant seeks clarification on the variables and symbols in the provided equation, indicating a lack of understanding of its relevance to the concept of the universe's apparent shrinking.
  • Another reply directs the inquirer to a different webpage for further information, implying that the original source may not have fully addressed their questions.

Areas of Agreement / Disagreement

The discussion does not appear to reach a consensus on the existence of a specific formula or its implications, as participants express varying levels of understanding and seek further clarification.

Contextual Notes

There are limitations in the understanding of the variables in the proposed equation, and the relationship between the equation and the concept of the universe's shrinking remains unresolved.

benk99nenm312
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Earlier, I had a thought, and I have now been curious about the equation of this thought. Einstein's general relativity obviously states that objects curve and distort space. But the whole reason he came up with a cosmological constant was that he found that the curvature of all of the objects in space would essentially shrink the size of the universe. Is there a formula that represents this concept, and if so, what is it?
 
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Is there a formula that represents this concept, and if so, what is it?
[tex]\ddot V / V = -1/2(\rho+P_x+P_y+P_z)[/tex]
See http://math.ucr.edu/home/baez/einstein/einstein.html" .
 
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What exactly do the variables and symbols in the equation stand for? I read the page you gave me, but I still don't fully understand it.

Also, How does this relate to the apparent shrinking of the universe?

Thanks in advance.
 
Just go on to http://math.ucr.edu/home/baez/einstein/node3.html" It should answer your questions better than I could.
 
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