Photons being blueshifted when crossing evolving voids?

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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?
 

What does it mean for a photon to be blueshifted?

Blueshifting occurs when a photon (a particle of light) increases in frequency as it moves through space. This increase in frequency corresponds to a shift towards the blue end of the electromagnetic spectrum. Blueshifting indicates that the energy of the photon is increasing as it travels.

What are evolving voids in the context of cosmology?

In cosmology, voids are large regions in space that contain very few galaxies, making them less dense than the average regions of the universe. An evolving void refers to a void that is changing over time, typically expanding as the universe itself expands.

How do photons get blueshifted when crossing evolving voids?

As photons travel through an expanding void, the gravitational effects of the void can influence the photons. Theoretically, if a photon enters a void that is expanding and the expansion is faster along the line of sight, the photon might gain energy from the gravitational field of the void, leading to an increase in its frequency, or a blueshift.

Why is the blueshifting of photons significant in understanding the universe?

The blueshifting of photons can provide important clues about the large-scale structure of the universe and the dynamics of voids. By studying such changes in photon energy, astronomers can gain insights into the rate of expansion of the universe, the distribution of mass, and the nature of dark energy.

How does the blueshifting of photons differ from redshifting?

While blueshifting involves an increase in the frequency of photons, redshifting is the opposite; it involves a decrease in frequency. Redshifting occurs when photons lose energy, typically as they move away from gravitational fields or as the space through which they are traveling expands. Redshift is commonly associated with objects moving away from us in an expanding universe, whereas blueshift might indicate movement towards us or interaction with certain gravitational fields.

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