Cosmic voids and induced hyperbolicity. III. tracing redshift dependence

TL;DR

This paper investigates how cosmic voids influence photon beam hyperbolicity across different redshifts, using observational data to model the distortion effects and trace void properties.

Contribution

It introduces a method to analyze redshift-dependent void-induced hyperbolicity and provides formulae to infer void characteristics from galactic survey distortions.

Findings

Derived formulae for photon beam distortion due to voids

Demonstrated redshift dependence of void-induced hyperbolicity

Enabled tracing of void properties from survey data

Abstract

The currently released datasets of the observational surveys reveal the redshift dependence of the physical features of cosmic voids. We study the void induced hyperbolicity, that is the deviation of the photon beams propagating the voids, taking into account the redshift dependence of the void size indicated by the observational surveys. The cumulative image distortion parameter is obtained for the case of a sequence of variable size voids and given underdensity parameters. The derived formulae applied along with those of redshift distortion ones, enable one to trace the number and the physical parameters of the line-of-sight voids from the analysis of the distortion in the galactic surveys.}