MOG cosmology without dark matter and the cosmological constant

TL;DR

This paper examines the MOdified Gravity (MOG) theory as an alternative to dark matter and the cosmological constant, comparing its predictions with the standard $\Lambda$CDM model using cosmological data and statistical analysis.

Contribution

It provides an updated parameter constraint for the MOG model and evaluates its consistency with $\Lambda$CDM using multiple statistical criteria and current cosmological observations.

Findings

MOG is consistent with $\Lambda$CDM based on $\chi^2_{ m red}$ and DIC.

The study constrains MOG parameters using Bayesian analysis.

MOG can explain background cosmology and structure formation without dark matter.

Abstract

In this work, we investigate the MOdified Gravity (MOG) theory for dynamics of the universe and compare the results with the $\Lambda$CDM cosmology. We study the background cosmological properties of the MOG model and structure formation at the linear perturbation level. We compare the two models with the currently available cosmological data by using statistical Bayesian analyses. After obtaining updated constraints on the free parameters, we use some methods of model selection to assist in choosing the more consistent model such as the reduced chi-squared ($\chi^2_{\rm red}$) and a number of the basic information criteria such as the Akaike Information Criterion (AIC), the Bayes factor or Bayesian Information Criterion (BIC), and Deviance Information Criterion (DIC). MOG model appears to be consistent with the $\Lambda$CDM model by the results of $\chi^2_{\rm red}$ and DIC for an overall statistical analysis using the background data and the linear growth of structure formation.