New cosmological solutions in massive gravity theory

TL;DR

This paper introduces new homogeneous and isotropic cosmological solutions within massive gravity theory, demonstrating accelerated universe evolutions with de Sitter-like expansion driven by graviton mass.

Contribution

It presents novel cosmological solutions in massive gravity with specific fiducial metrics ensuring energy-momentum conservation, expanding understanding of possible universe behaviors.

Findings

Found accelerating cosmologies with cosmological constant-like behavior

Identified conditions where solutions are absent when fiducial and physical metrics are similar

Revealed de Sitter solutions with graviton mass dependence

Abstract

In this paper we present some new cosmological solutions in massive gravity theory. Some homogeneous and isotropic solutions correctly describe accelerated evolutions for the universe. The study was realized considering a specific form to the fiducial metric and found different functions and constant parameters of the theory that guarantees the conservation of the energy momentum tensor. Several accelerating cosmologies were found, all of them reproducing a cosmological constant term proportional to the graviton mass, with a de Sitter type solution for the scale factor. We have also verified that when the fiducial metric is close to the physical metric the solutions are absent, except for some specific open cases.