Integrated Sachs Wolfe Effect - redshifting?

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SUMMARY

The discussion centers on the Integrated Sachs-Wolfe (ISW) effect, particularly how accelerated expansion due to dark energy influences gravitational potential wells and voids. It highlights that as photons travel through superclusters, they gain energy entering these wells but lose some upon exiting due to the decay of these structures over time. The conversation questions the applicability of the Friedmann-Robertson-Walker (FRW) metric to describe superclusters, emphasizing that gravitationally-bound systems are not stable under the influence of a cosmological constant, which causes potential wells and voids to decay.

PREREQUISITES
  • Understanding of the Integrated Sachs-Wolfe effect
  • Familiarity with the Friedmann-Robertson-Walker metric
  • Knowledge of dark energy and its role in cosmic expansion
  • Basic concepts of gravitational potential wells and voids
NEXT STEPS
  • Research the implications of dark energy on large-scale structure formation
  • Study the mathematical framework of the Friedmann-Robertson-Walker metric
  • Explore the dynamics of gravitationally-bound systems in cosmology
  • Investigate the effects of the cosmological constant on cosmic evolution
USEFUL FOR

Astronomers, cosmologists, and physics students interested in the effects of dark energy on cosmic structures and the dynamics of the universe's expansion.

ChrisVer
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I think this have been discussed a lot, however, here it comes again right in front of me. I'm talking about this article (and also in my class notes):

http://en.wikipedia.org/wiki/Sachs–Wolfe_effect#Integrated_Sachs.E2.80.93Wolfe_effect

and in particular at this paragraph:

Accelerated expansion due to dark energy causes even strong large-scale potential wells (superclusters) and hills (voids) to decay over the time it takes a photon to travel through them. A photon gets a kick of energy going into a potential well (a supercluster), and it keeps some of that energy after it exits, after the well has been stretched out and shallowed. Similarly, a photon has to expend energy entering a supervoid, but will not get all of it back upon exiting the slightly squashed potential hill.

So my problem is, how can you talk about an accelerated universe when you look at a supercluster object?
The accelerated universe makes sense in the FRW metric. However a supercluster (a group of galaxies+clusters that I believe are gravitationally bound -and so the gravitational redshifting of ISW) cannot be described by FRW metric... So how does the well gets "stretched" during the photon's stay in it?
 
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A cosmological constant makes it so that gravitationally-bound systems aren't perfectly stable over time. The larger the system is, the more it is impacted. The cosmological constant causes gravitational potential wells and voids to decay over time.
 

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