Massive Gravity with Anisotropic Scaling

TL;DR

This paper explores a Lorentz-violating massive gravity theory with anisotropic scaling, demonstrating its stability and healthiness across energy scales through scalar perturbation analysis.

Contribution

It introduces a Lorentz-violating massive gravity model with anisotropic scaling that remains stable and ghost-free, extending understanding of gravity modifications.

Findings

The theory is free of ghosts, tachyons, and instabilities.

It remains healthy across ultraviolet to infrared scales.

Scalar perturbation analysis confirms stability with proper parameters.

Abstract

We study a massive gravity theory which is Lorentz violating all the way from ultraviolet to infrared energy scales. At short distances the theory breaks diffeomorphism invariance and time and space scale differently. Dynamical metric fields are introduced which upon linearization over a Minkowski background correspond to Lorentz violating mass terms at large distances. We perform a scalar perturbation analysis and we show that with an appropriate choice of parameters the theory is healthy without ghosts, tachyons, strong coupling problems and instabilities