# Ghost Dark Energy Model in f(G) Gravity

## TL;DR

This paper explores the implications of ghost dark energy within f(G) gravity, analyzing stability, cosmic evolution, and phase space behavior to understand its role in universe dynamics.

## Contribution

It constructs a ghost dark energy f(G) model in modified gravity considering both interacting and non-interacting scenarios, analyzing stability and phase space trajectories.

## Key findings

- The equation of state indicates quintessence for non-interacting and phantom for interacting cases.
- The model remains stable under squared speed of sound analysis.
- Phase space analysis aligns with Chaplygin gas behavior.

## Abstract

In this paper, we investigate the cosmological consequences of ghost dark energy model in modified Gauss-Bonnet gravity. We construct ghost dark energy $f(G)$ model by using correspondence scenario for both interacting and non-interacting schemes. For this purpose, we consider the FRW universe with pressureless matter and power-law scale factor. We examine the behavior of the equation of state parameter and check the stability of ghost dark energy model through the squared speed of sound parameter. We also analyze the behavior of phase planes like $\omega_{eff}-\omega'_{eff}$ and $r-s$ graphically. It is found that the equation of state parameter represents the quintessence era for non-interacting while the phantom phase of the universe for an interacting case. The squared speed of sound indicates stable ghost dark energy model for both cases. The $\omega_{eff}-\omega'_{eff}$ plane shows thawing region for non-interacting while freezing region for an interacting case. The $r-s$ plane corresponds to the Chaplygin gas model in both scenarios. We conclude that ghost dark energy model describes the evolution of the universe for the appropriate choice of parameters.