# Evolution of Dark Energy Perturbations for Slotheon Field and Power Spectrum

## TL;DR

This paper investigates dark energy perturbations within the Slotheon modified gravity model, comparing its predictions for matter power spectrum and perturbations to standard models like quintessence and ΛCDM, highlighting its closer resemblance to ΛCDM.

## Contribution

It introduces a numerical analysis of dark energy perturbations in the Slotheon model and compares its predictions with standard cosmological models.

## Key findings

- Dark Energy in Slotheon model resembles ΛCDM more than quintessence.
- Matter power spectrum in Slotheon model aligns closely with ΛCDM predictions.
- Dark energy perturbations behave differently than in standard models, influenced by the modified gravity framework.

## Abstract

Within the framework of modified gravity model namely Slotheon model, inspired by the theory of extra dimensions, we explore the behaviour of Dark Energy and the perturbations thereof. The Dark Energy and matter perturbations equations are then derived and solved numerically by defining certain dimensionless variables and properly chosen initial conditions. The results are compared with those for standard quintessence model and $\Lambda$CDM model. The matter power spectrum is obtained and also compared with that for $\Lambda$CDM model. It appears that Dark Energy in Slotheon model is more akin to that for $\Lambda$CDM model than the standard quintessence model.