Eur. Phys. J. Plus (2021) 136: 821
https://doi.org/10.1140/epjp/s13360-021-01817-x

Letter to the Editor

Cosmic voids and induced hyperbolicity. III. Tracing redshift dependence

¹ Center for Cosmology and Astrophysics, Alikhanian National Laboratory and Yerevan State University, Yerevan, Armenia
² School of Physics and Astronomy, Monash University, Clayton, Australia
³ SIA, Sapienza Universita di Roma, Rome, Italy

^d gurzadyan@yerphi.am

Received: 20 July 2021
Accepted: 30 July 2021
Published online: 9 August 2021

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.