Effective Matter Cosmologies of Massive Gravity I: Non-Physical Fluids
Nejat Tevfik Yilmaz

TL;DR
This paper explores a broad class of solutions in massive gravity theories, focusing on effective matter contributions in FLRW cosmologies derived from decoupling the scalar sector.
Contribution
It introduces a new approach to constructing cosmological solutions in massive gravity by decoupling the scalar sector and analyzing the resulting effective matter.
Findings
Identified a broad class of solutions in the Stuckelberg sector.
Constructed FLRW cosmologies with effective matter contributions.
Demonstrated the decoupling mechanism for scalar fields in massive gravity.
Abstract
For the massive gravity, after decoupling from the metric equation we find a broad class of solutions of the Stuckelberg sector by solving the background metric in the presence of a diagonal physical metric. We then construct the dynamics of the corresponding FLRW cosmologies which inherit effective matter contribution through the decoupling solution mechanism of the scalar sector.
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