# Strength of the singularities, equation of state and asymptotic expansion

## TL;DR

This paper presents an explicit cosmological model with singularities, analyzing the asymptotic behavior of the fluid's equation of state and the strength of these singularities.

## Contribution

It introduces a detailed asymptotic expansion approach for the equation of state parameter and evaluates the nature of cosmological singularities.

## Key findings

- Asymptotic expansions of the barotropic index and deceleration parameter are derived.
- The strength of the singularities in the model is characterized.
- The model provides insights into the behavior of cosmological parameters near singularities.

## Abstract

In this paper an explicit cosmological model which allows cosmological singularities are discussed. The generalized power-law and asymptotic expansions of the baro-tropic fluid index $\omega$ and equivalently the deceleration parameter $q$, in terms of cosmic time $'t'$ are considered. Finally, the strength of the found singularities is discussed.