# Generalized Ghost Dark Energy in DGP Model

## TL;DR

This paper explores the decelerating branch of the DGP braneworld model combined with Generalized Ghost Dark Energy, analyzing stability, cosmological parameters, and diagnostic tools to assess its viability for explaining the universe's behavior.

## Contribution

It investigates the stability and viability of the decelerating branch of the DGP model with GGDE, including analysis of cosmological parameters and diagnostic tools.

## Key findings

- Identified stable solutions in the decelerating DGP branch with GGDE.
- Confirmed the absence of a freezing region, indicating a thawing dark energy behavior.
- Validated the model's viability through statefinder diagnostics.

## Abstract

In 2000, Giorgi Dvali, Gregory Gabadadze and Massimo Porrati (Dvali et al. 2000) was proposed a new braneworld model named as DGP model, having two branches with $(\epsilon=+1)$ and $(\epsilon=-1)$. Former one $(~\epsilon=+1)$ known as the accelerating branch, i.e. accelerating phase of the universe can be explained without adding cosmological constant or Dark energy, whereas later one represents the decelerating branch. Here we have investigated the behavior of decelerating branch $(i.e.~\epsilon=-1)$ of DGP model with Generalized Ghost Dark Energy (GGDE). Aim of our study to find a stable solution of the universe in DGP model. To find a stable solution we have studied the behavior of different cosmological parameters such as Hubble parameter, equation of state (EoS) parameter and deceleration parameter with respect to scale factor. Then we have analysed the $\omega_{D}-\acute{\omega_{D}}$ to confirm no freezing region of our present study and point out thawing region. Furthermore we have checked the gradient of stability by calculating the squared sound speed. Then we extend our study to check the viability of this model under investigation through the analysis of statefinder diagnosis parameters for the present cosmological setup.