# Ghost Collapse : exploring feasibility of spurious Spherical Collapses

## TL;DR

This paper investigates the theoretical possibility of spurious spherical collapses in a non-flat universe with a dynamic dark energy component, suggesting such phenomena could occur under certain redshift-dependent corrections.

## Contribution

It introduces a linear redshift-dependent correction to dark energy density, exploring the feasibility of ghost collapses in cosmological models.

## Key findings

- Possible occurrence of fake or ghost collapses in theoretical models.
- Redshift-dependent dark energy correction enables such collapses.
- Supports evolving dark energy density hypothesis.

## Abstract

We explore the real solutions to the Spherical Collapse Model in a non-flat Universe with a Cosmological Constant, and observe a possible situation for a fake or Ghost Collapse, in which an expanding overdense spherical region, turns around and begins to collapse, turns around again after a finite time and starts expanding. To make such a situation of spurious collapse feasible, we make a linear redshift dependent correction to the standard Dark Energy density term which is originally in the form of a cosmological constant. There is good reason to believe in such a correction based on recent research which hints that Dark Energy desnity evolves with the redshift (even becomes negative) when fit to observational data.