Matter coupling in partially constrained vielbein formulation of massive gravity

Understand

We consider a consistent linear effective vielbein matter coupling without introducing the Boulware-Deser ghost in ghost-free massive gravity.

• This is achieved in the partially constrained vielbein formulation.
• We first introduce the formalism and prove the absence of ghost at all scales.
• As next we investigate the cosmological application of this coupling in this new formulation.