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Auteurs principaux: Bahamonde, Sebastian, Blixt, Daniel, Dialektopoulos, Konstantinos F., Hell, Anamaria
Format: Preprint
Publié: 2024
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Accès en ligne:https://arxiv.org/abs/2404.02972
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author Bahamonde, Sebastian
Blixt, Daniel
Dialektopoulos, Konstantinos F.
Hell, Anamaria
author_facet Bahamonde, Sebastian
Blixt, Daniel
Dialektopoulos, Konstantinos F.
Hell, Anamaria
contents We study the degrees of freedom in New General Relativity -- 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 KR 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.
format Preprint
id arxiv_https___arxiv_org_abs_2404_02972
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Revisiting Stability in New General Relativity
Bahamonde, Sebastian
Blixt, Daniel
Dialektopoulos, Konstantinos F.
Hell, Anamaria
General Relativity and Quantum Cosmology
We study the degrees of freedom in New General Relativity -- 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 KR 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.
title Revisiting Stability in New General Relativity
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2404.02972