Photons being blueshifted when crossing evolving voids?

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SUMMARY

The discussion centers on the behavior of Cosmic Microwave Background (CMB) radiation as it interacts with evolving voids in an expanding spacetime, specifically through the Rees-Sciama effect and the integrated Sachs-Wolfe effect. The analysis presented in the referenced paper indicates that while photons typically experience redshift when crossing voids, there exists a phenomenon where growing voids can lead to a partial cancellation of this redshift, resulting in a net blueshift for some photons. This finding challenges conventional understanding and suggests that under certain conditions, photons can indeed exit voids with a total net blueshift.

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Suekdccia
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Photons being blueshifted when crossing voids due to Rees-Sciama effect...?
I was reading this paper (https://academic.oup.com/mnras/article/288/2/387/960778) where they analysed how CMB radiation is affected by evolving voids in an expanding spacetime (particularly through the Rees-Sciama effect and the integrated Sachs-Wolfe effect).

This effect predicts that photons crossing well potentials would be blueshifted and the ones crossing voids would be redshifted. However, in this paper (and some others: https://arxiv.org/abs/astro-ph/0612347, https://pure.port.ac.uk/ws/portalfiles/portal/6034571/Alvise_Raccanelli_Thesis.pdf) the authors indicate that there can be a partial cancellation of the redshift of photons crossing the voids (or said in another way, that growing voids can blueshift photons).

My question is:

Can there be cases where the photons crossing the voids have a total net blueshift as they get out of them?
 

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