Cosmological solutions of massive gravity on de Sitter

TL;DR

This paper explores new cosmological solutions in massive gravity models with a de Sitter reference metric, revealing three solution branches with diverse behaviors, including late-time cosmological constant effects.

Contribution

It introduces new homogeneous and isotropic solutions for massive gravity on de Sitter backgrounds, expanding understanding of their cosmological implications.

Findings

Two solution branches mimic a cosmological constant.

The third branch features a time-evolving effective fluid.

Late-time behavior approaches a cosmological constant.

Abstract

In the framework of the recently proposed models of massive gravity, defined with respect to a de Sitter reference metric, we obtain new homogeneous and isotropic solutions for arbitrary cosmological matter and arbitrary spatial curvature. These solutions can be classified into three branches. In the first two, the massive gravity terms behave like a cosmological constant. In the third branch, the massive gravity effects can be described by a time evolving effective fluid with rather remarkable features, including the property to behave as a cosmological constant at late time.