Pith. sign in

REVIEW 5 cited by

On the cosmological degrees of freedom of Proca field with non-minimal coupling to gravity

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2503.07454 v2 pith:VZ7OUINS submitted 2025-03-10 gr-qc hep-th

Antonio De Felice , Anamaria Hell This is my paper · ORCID
classification gr-qchep-th
keywords couplingmodestrongfieldfreedomprocatheoryvanishing
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We study Proca theory with non-minimal coupling to gravity through the Ricci tensor and Ricci scalar interactions. We show that in the homogeneous and isotropic Universe together with cosmological constant, the temporal component of the vector field acquires a background value. As a result, we show that the theory propagates an additional degree of freedom, with respect to the generalized Proca theories, whose kinetic term suggests the presence of several strong coupling regimes that depend on the value of the background solution, the combination and vanishing of coupling constants, together with a scale-dependent one. We show in addition, that the speed of propagation for this mode vanishes, indicating the presence of another type of strong coupling. To further investigate this, we extend our analysis to the Bianchi Type I Universe, with the most general solution for the vector field. We show that the extra degree of freedom remains in the theory. Among the modes, we further show that the mode with vanishing speed of propagation is still present, pointing to the strong coupling. In addition, we discover a mode with scale-dependent strong coupling (vanishing kinetic term), one mode that propagates only in one single direction and two unstable modes.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 5 Pith papers

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

  1. A no-go theorem in bumblebee vector-tensor cosmology

    hep-th 2025-09 conditional novelty 6.0 of 10

    Bumblebee gravity with non-minimal couplings is healthy only under the degeneracy σ=-ξ/2, which fixes the potential and yields a stealth de Sitter solution with scalar sound speed squared ≈1/6.

  2. Zeroth law of black hole thermodynamics for higher derivative Proca theories

    hep-th 2025-09 conditional novelty 6.0 of 10

    The zeroth law of black hole thermodynamics holds to all perturbative orders for higher curvature Einstein-Proca effective field theories.

  3. Evading Cosmological Strong Coupling in Non-minimally Coupled Vector Gravity

    hep-th 2026-07 conditional novelty 5.0 of 10

    A divergence-squared Proca interaction lifts the c_s²=0 scalar mode of non-minimally coupled vector cosmology and admits a stable de Sitter fixed point with healthy high-frequency scalar kinetics.

  4. Beyond general relativity: gravitational waves in non-minimally coupled theories

    gr-qc 2025-10 conditional novelty 5.0 of 10

    A generalized propagation parameterization for gravitational-wave strains is extended to O(H²) and O(H′), then mapped to Kalb-Ramond, axion-dilaton–Chern-Simons–Gauss-Bonnet, and U(1) dark-photon models.

  5. Aspects of massive gauge fields

    hep-th 2025-05 conditional novelty 3.0 of 10

    A proceedings summary arguing that the massless limit of massive Yang-Mills is smooth via a Vainshtein-like mechanism, and that self-interactions make Proca and Kalb-Ramond strong-coupling behaviors differ, questionin...

Pith tools