For a chosen parameter range, a massless tensor perturbation of a Euclidean scalar-tensor theory obeys a Lorentzian dispersion relation, while extra scalar/vector modes remain Euclidean or ghost-like and require boundary suppression.
A new quasidilaton theory of massive gravity
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abstract
We present a new quasidilaton theory of Poincare invariant massive gravity, based on the recently proposed framework of matter coupling that makes it possible for the kinetic energy of the quasidilaton scalar to couple to both physical and fiducial metrics simultaneously. We find a scaling-type exact solution that expresses a self-accelerating de Sitter universe, and then analyze linear perturbations around it. It is shown that in a range of parameters all physical degrees of freedom have non-vanishing quadratic kinetic terms and are stable in the subhorizon limit, while the effective Newton's constant for the background is kept positive.
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Emergent Lorentzian dispersion relations from a Euclidean scalar-tensor theory
For a chosen parameter range, a massless tensor perturbation of a Euclidean scalar-tensor theory obeys a Lorentzian dispersion relation, while extra scalar/vector modes remain Euclidean or ghost-like and require boundary suppression.