Work

Revisiting stability in new general relativity

Year: 2025
Type: article
Abstract: We study the degrees of freedom in new general relativity---a flat and metric compatible family of theories---around the Minkowski background in a gauge-invariant manner. First, we confirm the decoupling case, in which the theory reduces to linearized gravity plus a massless Kalm-Ramond field. We then show that, unless they vanish, the vector modes of this theory will be unstable. In addition, we find two new branches of the theories, which are instability-free and propagate linearly two tensor modes and in one of the cases also a massless scalar field. This shows that while the generic theory is ill behaved, there are three possible realizations of instability-free cases, in contradiction to the previous literature, which states that there is only one healthy theory in addition to general relativity.
Language: English
Open Access status: green
OpenAlex ID: W4409015103
FWCI: 5.458
Cites: 59
Cited by: 13
Related to: 10