I Do the Sachs-Wolfe and Rees-Sciama Effects Influence Matter?

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The Sachs-Wolfe and Rees-Sciama effects primarily influence cosmic microwave background (CMB) photons through gravitational potential changes in superclusters and supervoids. The integrated Sachs-Wolfe effect results in a net blueshift for photons passing through superclusters and a redshift for those crossing supervoids. Conversely, the Rees-Sciama effect alters the energy of photons, cooling them in dense regions while heating those near the edges of these structures. The discussion raises the question of whether these gravitational effects also impact massive particles, suggesting potential influences on the orbits of celestial bodies within clusters and voids. Understanding these dynamics could provide deeper insights into the relationship between gravity and matter in the universe.
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Can the integrated Sachs-Wolfe and the Rees-Sciama effects have any influence on matter? For example influencing the orbits of celestial bodies in cluster & voids?
CMB photons can be affected by the expansion of the universe through the linear integrated Sachs-Wolfe effect (ISW) [1] and the non-linear ISW effect or also called Rees-Sciama effect [1].

In particular, according to the ISW effect, the photons crossing superclusters would leave them having a total net blueshift (because of the gravitational potential decay of the cluster) while crossing a supervoid would leave them with a total net redshift (all compared to the overall redshift from the universe's expansion itself)

The Rees-Sciama effect on the other hand, "cools" a bit the photons crossing both structures but "heats" them to those that travel near the outskirts of both superclusters and supervoids [2]


However, we are always talking about photons here. Do these effects also affect matter (or particles with mass) in any manner? For instance, since gravitational potentials are related to these effects, shouldn't that have some kind of influence for particles with mass as well (and not only masless particles, like photons)? Can these effects affect the orbits of celestial bodies in clusters and voids, for instance?



[1]: https://en.wikipedia.org/wiki/Sachs–Wolfe_effect

[2]: https://www.roe.ac.uk/~cai/index_ISW.html
 

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