The Size of the Longest Filaments in the Universe

Astronomy and Astrophysics – Astrophysics

Scientific paper

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16 preprint pages, 4 figures, Replaced with accepted version in ApJ. Improved discussion and added references

Scientific paper

10.1086/382140

We analyze the filamentarity in the Las Campanas redshift survey (LCRS) and determine the length scale at which filaments are statistically significant. The largest length-scale at which filaments are statistically significant, real objects, is between 70 to $80 h^{-1}$Mpc, for the LCRS $-3^o$ slice. Filamentary features longer than $80 h^{-1}$Mpc, though identified, are not statistically significant; they arise from chance alignments. For the five other LCRS slices, filaments of lengths $50 h^{-1}$Mpc to $70 h^{-1}$Mpc are statistically significant, but not beyond. These results indicate that while individual filaments up to $80 h^{-1}$Mpc are statistically significant, the impression of structure on larger scales is a visual effect. On scales larger than $80 h^{-1}$Mpc the filaments interconnect by statistical chance to form the filament-void network. The reality of the $80 h^{-1}$Mpc features in the $-3^o$ slice make them the longest coherent features in the LCRS. While filaments are a natural outcome of gravitational instability, any numerical model attempting to describe the formation of large scale structure in the universe must produce coherent structures on scales that match these observations.

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