TL;DR
This paper introduces an SO(3) symmetric massive gravity theory with five degrees of freedom, demonstrating its stability against various instabilities through linear cosmological perturbation analysis.
Contribution
It proposes a new massive gravity model with SO(3) symmetry and confirms its stability, which is a novel approach in the field.
Findings
The theory has 5 degrees of freedom.
It is free from ghost, gradient, and tachyonic instabilities.
The model is consistent with linear cosmological perturbations.
Abstract
In this paper, we propose a massive gravity theory with 5 degrees of freedom. The mass term is constructed by 3 Stuckelberg scalar fields, which respects SO(3) symmetry in the fields' configuration. By the analysis on the linear cosmological perturbations, we found that such 5 d.o.f are free from ghost instability, gradiant instability, and tachyonic instability.
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