Dynamical analysis of the cosmology of mass-varying massive gravity

TL;DR

This paper investigates the cosmological dynamics of a mass-varying massive gravity model where the graviton mass evolves over time, analyzing critical points and their stability to understand possible universe evolutions.

Contribution

It introduces a generalized nonlinear massive gravity model with a time-varying graviton mass and performs a dynamical analysis to classify critical points and their stability.

Findings

Identification of critical points and their stability properties.

Classification of critical points into traditional and novel categories.

Discussion of cosmological implications of these critical points.

Abstract

We study cosmological evolutions of the generalized model of nonlinear massive gravity in which the graviton mass is given by a rolling scalar field and is varying along time. By performing dynamical analysis, we derive the critical points of this system and study their stabilities. These critical points can be classified into two categories depending on whether they are identical with the traditional ones obtained in General Relativity. We discuss the cosmological implication of relevant critical points.