# Observed galaxy power spectrum in cubic Galileon model

## TL;DR

This paper investigates how relativistic effects and redshift space distortions influence the observed galaxy power spectrum in a cubic Galileon model, revealing scale-dependent modifications compared to standard cosmology.

## Contribution

It provides a detailed analysis of relativistic corrections in the cubic Galileon model's galaxy power spectrum, highlighting differences from the ΛCDM model.

## Key findings

- RSD enhances power at all scales
- Relativistic effects increase power at large scales
- Galaxy power spectrum is slightly suppressed at large scales compared to ΛCDM

## Abstract

In this paper, we study the effects of general relativistic corrections on the observed galaxy power spectrum in thawing class of cubic Galileon model with linear potential that preserves the shift symmetry. In this scenario, the observed galaxy power spectrum differs from the standard matter power spectrum mainly due to redshift space distortion (RSD) factor and relativistic effects. The RSD term enhances the matter power spectrum both at larger and smaller scales whereas the relativistic terms further enhance the matter power spectrum only at larger scales. In comparison with $\Lambda$CDM, the observed galaxy power spectrum is always suppressed at large scales in this scenario although this suppression is always small compared to the canonical quintessence scenario.