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

TL;DR

This paper investigates how the hyperbolic properties of cosmic voids, which cause distortions in galactic surveys, depend on the ratio of void to wall scales, offering a method to infer void characteristics from observational data.

Contribution

It demonstrates the sensitivity of void hyperbolicity to void/wall scale ratios, enabling potential observational inference of cosmic void properties.

Findings

Hyperbolicity varies with void/wall scale ratio.

Distortions in galactic surveys can reveal void characteristics.

Sensitivity analysis supports observational applications.

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.