Eur. Phys. J. Plus (2021) 136: 350
https://doi.org/10.1140/epjp/s13360-021-01310-5

Letter to the Editor

Cosmic voids and induced hyperbolicity. II. Sensitivity to void/wall scales

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: 27 February 2021
Accepted: 13 March 2021
Published online: 1 April 2021

Abstract

Cosmic voids as typical under-density regions in the large-scale Universe are known for their hyperbolic properties as an ability to deviate the photon beams. The under-density then is acting as the negative curvature in the hyperbolic spaces. The hyperbolicity of voids has to lead to distortion in the statistical analysis at galactic surveys. We reveal the sensitivity of the hyperbolicity and hence of the distortion with respect to the ratio of void/wall scales which are observable parameters. This provides a principal possibility to use the distortion in the galactic surveys in revealing the line-of-sight number of cosmic voids and their characteristic scales.