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Revisiting Stability in New General Relativity

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arxiv 2404.02972 v2 pith:7ITGCRNP submitted 2024-04-03 gr-qc

Sebastian Bahamonde , Daniel Blixt , Konstantinos F. Dialektopoulos , Anamaria Hell This is my paper · ORCID
classification gr-qc
keywords theorygeneralrelativityadditioncasesfieldinstability-freemassless
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cosmological Perturbation in New General Relativity: Propagating mode from the violation of local Lorentz invariance

    gr-qc 2025-09 conditional novelty 7.0 of 10

    In New General Relativity on a flat expanding universe, the propagating spectrum is computed for all nine types, with Type 3 carrying five stable tensor, scalar, and vector modes.

  2. Geometric formulation of $k$-essence and late-time acceleration

    gr-qc 2025-05 conditional novelty 6.0 of 10

    Integrable vectorial nonmetricity gravity is shown to be equivalent to purely kinetic quadratic k-essence, which fits late-time data as well as ΛCDM.

  3. Traversable Wormhole Solutions in massive $F(T)$ gravity

    gr-qc 2025-08 unverdicted novelty 4.0 of 10

    In massive F(T) gravity, exact traversable wormhole solutions exist whose throats are supported by the graviton mass term, with matter that satisfies standard energy conditions in selected parameter ranges.

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