# Scale Factor - Cosmic Time Relation and Occurrences of Future Cosmic Singularities with Different Redshift Parametrizations of Dark Energy EoS-s

## TL;DR

This paper investigates how different dark energy equation of state parametrizations influence the universe's fate and the potential occurrence of future cosmic singularities.

## Contribution

It introduces new redshift-dependent dark energy EoS parametrizations and analyzes their implications for cosmic evolution and singularities.

## Key findings

- Certain parametrizations predict future cosmic singularities.
- Dark energy models significantly affect the universe's long-term fate.
- New parametrizations provide more accurate descriptions of cosmic acceleration.

## Abstract

While modelling our late time cosmically accelerated universe, it is popular to involve different dark energy models, the equation of state of which can be taken as a function of the redshift and some unknown parameters. Barboza and Alcaniz have proposed one of a such kind of dark energy's EoS model. We use some new parametrizations like Feng, Shen, Li, Li I and II and Polynomial parametrizations to get more accurate concepts about the fate of our expanding universe. We try to find how the hypothesis of the fate of our universe behaves in the above background of dark energy models. Possibilities of occurrences of future cosmic singularities are studied.