New Quasidilaton theory in Partially Constrained Vielbein Formalism

TL;DR

This paper develops a partially constrained vielbein formulation of the new quasidilaton theory of massive gravity, removing ghosts and analyzing cosmological stability, with implications for consistent cosmological models.

Contribution

It introduces a novel vielbein formalism for the quasidilaton theory that fully eliminates the Boulware-Deser ghost at all scales.

Findings

Ghosts are removed non-linearly at all scales.

Derived stable cosmological background solutions.

Implications for consistent cosmological models.

Abstract

In this work we study the partially constrained vielbein formulation of the new quasidilaton theory of massive gravity which couples to both physical and fiducial metrics simultaneously via a composite effective metric. This formalism improves the new quasidilaton model since the Boulware-Deser ghost is removed fully non-linearly at all scales. This also yields crucial implications in the cosmological applications. We derive the governing cosmological background evolution and study the stability of the attractor solution.