# The giants arcs as modeled by the superbubbles

## TL;DR

This paper models giant arcs in galaxy clusters using superbubbles, analyzing their visibility and flux decay with respect to polar angle, and calibrates arcsec-parsec conversion across three cosmologies.

## Contribution

It introduces an analytical model of giant arcs based on superbubbles with a hyperbolic density profile, linking physical dynamics to observational features.

## Key findings

- Flux decreases with polar angle, affecting arc visibility.
- The model's calibration varies with different cosmological assumptions.
- Analytical law of motion describes arc evolution over time.

## Abstract

The giant arcs in the clusters of galaxies are modeled in the framework of the superbubbles. The density of the intracluster medium is assumed to follow a hyperbolic behavior. The analytical law of motion is function of the elapsed time and the polar angle. As a consequence the flux of kinetic energy in the expanding thin layer decreases with increasing polar angle making the giant arc invisible to the astronomical observations. In order to calibrate the arcsec-parsec conversion three cosmologies are analyzed.