Cosmological bounds on open FLRW solutions of massive gravity

TL;DR

This paper investigates cosmological constraints on open FLRW solutions in massive gravity, finding compatibility with observational data and highlighting the influence of model parameters on graviton mass.

Contribution

It provides the first detailed analysis of observational bounds on open FLRW solutions in massive gravity, emphasizing parameter dependencies and consistency with the $ ext{Lambda}$CDM model.

Findings

Best fit parameters align with $ ext{Lambda}$CDM model.

Nearly open spatial curvature is favored.

Strong dependence of graviton mass on model parameters.

Abstract

In this work we have analysed some cosmological bounds concerning an open FLRW solution of massive gravity. The constraints with recent observational $H(z)$ data were found and the best fit values for the cosmological parameters are in agreement with the $\Lambda$CDM model, and also point to a nearly open spatial curvature, as expected from the model. The graviton mass dependence with the constant parameters $\alpha_3$ and $\alpha_4$, related to the additional lagrangians terms of the model, are also analysed, and we have obtained a strong dependence with such parameters, although the condition $m_g\simeq H_0^{-1}$ seems dominant for a long range of the parameters $\alpha_3$ and $\alpha_4$.