It has been suggested that the inference of accelerated expansion from the SNe Ia Hubble diagram may be biased because we are located in a large underdense region which is expanding faster than the average. This may also account for the observed alignment of the low multipoles in the CMB. However such large voids are extremely unlikely according to the standard theory of structure formation matched to WMAP data. Nevertheless a number of them have recently been identified in the SDSS LRG survey in a search for the late ISW effect. We will discuss the implications of these findings, as well as other constraints on such voids from the lack of spectral distortions in the CMB spectrum.
Suggested reading:
"Constraints on large scale voids from WMAP-5 and SDSS"
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