Self-accelerating solutions in massive gravity on an isotropic reference metric

TL;DR

This paper extends the class of known self-accelerating solutions in ghost-free massive gravity by allowing isotropic reference metrics, broadening the understanding of cosmological solutions in this theory.

Contribution

It introduces self-accelerating solutions with only isotropic reference metrics, relaxing previous assumptions of Minkowski or de Sitter metrics.

Findings

Found self-accelerating solutions with isotropic reference metrics.

Extended the range of known solutions in ghost-free massive gravity.

Demonstrated solutions beyond Minkowski and de Sitter reference metrics.

Abstract

Within the framework of the recently proposed ghost-free massive gravity, a cosmological constant-type self-accelerating solution has been obtained for Minkowski and de Sitter reference metrics. We ease the assumption on the reference metric and find the self-accelerating solution for the reference metric respecting only isotropy, thus considerably extending the range of known solutions.