Using the large scale quasar clustering to constrain flat quintessential universes

TL;DR

This study uses large-scale quasar clustering data to constrain cosmological parameters of flat quintessential universes, finding a low matter density and a quintessence parameter suggesting a universe different from a pure cosmological constant.

Contribution

It introduces a method analyzing the evolution of quasar two-point correlation functions across redshifts without assuming a fixed feature scale, to constrain cosmological parameters.

Findings

Best-fit matter density: Ω_M=0.21±0.02

Quintessence parameter: w_Q=-0.93±0.04

Supports a low-density universe with quintessence > cosmological constant

Abstract

We search for the most suitable set of cosmological parameters that describes the observable universe. The search includes the possibility of quintessential flat universes, i.e., the analysis is restricted to the determination of the dimensionless matter density and the quintessential parameters, $\Omega_{\rm M}$ and $w_{\rm Q}$, respectively. Our study is focused on comparing the position of features at large scales in the density fluctuation field at different redshifts by analysing the evolution of the quasar two-point correlation function. We trace the density field fluctuations at large scales using a large and homogeneous sample of quasars ($\sim$ 38000 objects with 0.3 $\lesssim$ z $\le$ 2.4 and a median $z=1.45$) drawn from the Sloan Digital Sky Survey Data Release Six. The analysis relies on the assumption that, in the linear regime, the length scale of a particular feature should remain fixed at different times of the universe for the proper cosmological model. Our study does not assume any particular comoving length scale at which a feature should be found, but intends to perform a comparison for a wide range of scales instead. This is done by quantifying the amount of overlap among the quasar correlation functions at different times using a cross-correlation technique. The most likely cosmological model is $\Omega_{\rm M}=0.21\pm 0.02$ and $w_{\rm Q}=-0.93\pm0.04$, in agreement with previous studies. These constraints are the result of a good overall agreement of the correlation function at different redshifts over scales $\sim 100-300\mpc$. Under the assumption of a flat cosmological model, our results indicate that we are living in a low density universe with a quintessential parameter greater than the one corresponding to a cosmological constant.