Observational Constraints on Modified Chaplygin Gas in Horava-Lifshitz Gravity

TL;DR

This paper investigates cosmological models with modified Chaplygin gas within Horava-Lifshitz gravity, using observational data to constrain parameters and assess the viability of detailed-balance and beyond detailed-balance scenarios.

Contribution

It provides a comprehensive analysis of MCG in HL gravity, constraining parameters with observational data and comparing the two HL gravity scenarios.

Findings

Dark radiation reduces matter contribution in MCG.

Beyond detailed-balance scenario fits supernova data well.

Both scenarios are viable within HL gravity.

Abstract

We present Cosmological models with modified Chaplygin gas (MCG) in the framework of Horava-Lifshitz (HL) theory of gravity both with and without detailed balance. The equation of state (EOS) for a MCG contains three unknown parameters namely, $A$, $\alpha$, $B$. The allowed values of some of these parameters of the EOS are determined using the recent astrophysical and cosmological observational data. Using observational data from $H(z)-z$, BAO peak parameter, CMB shift parameter we study cosmologies in detailed-balance and beyond detailed-balance scenario. In this paper we take up the beyond detailed-balance scenario in totality and contribution of dark radiation in the case of detailed-balance scenario on the parameters of the EOS. We explore the effect of dark radiation on the whole range the of effective neutrino parameter to constrain matter contributing parameter $B$ in both the detailed-balance and the beyond-detailed balance scenario. It has been observed that greater the dark radiation less the matter contribution in the MCG in both the scenario considered here. In order to check the validity of beyond detailed balance scenario we plot supernovae magnitudes ($\mu$) with redshift of Union2 data and then the variation of state parameter with redshift is studied. It has been observed that beyond detailed balance scenario is equally suitable in HL gravity with MCG.