Action-level characterization of gravitational-wave propagation in dynamical Barbero--Immirzi gravity

Abstract

We investigate which operators in first-order dynamical Barbero--Immirzi (BI) gravity control cosmological tensor propagation at the action level. Within a bosonic, two-derivative, curvature-linear Einstein--Cartan class, eliminating the algebraic Lorentz connection reveals a separation between the scalar sector and the tensor kinetic normalization. In particular, the Holst-to-Palatini ratio determines the scalar kinetic structure, whereas the transverse-traceless tensor mode is normalized by the parity-even Hilbert--Palatini coefficient. As a consequence, a minimal dynamical Holst sector with fixed parity-even normalization remains exactly on the general-relativistic tensor-propagation surface and does not generate anomalous gravitational-wave friction. We then construct a regular nonminimal parity-even realization in which the tensor normalization evolves cosmologically, derive the corresponding standard-siren observable, and apply current GWTC-3, GWTC-4.0, and GWTC-5.0 information as an observational test of this action-level tensor sector. The resulting constraints should therefore be interpreted as limits on the evolution of the tensor kinetic normalization rather than direct constraints on minimal BI torsion dynamics.

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BibTeX RIS

BibTeX

@misc{gao2026actionlevel,
  title = {{Action-level characterization of gravitational-wave propagation in dynamical Barbero--Immirzi gravity}},
  author = {Zhi-Fu Gao and Hui Wang and Luiz Carlos Garcia de Andrade and Na Wang and Guo-Qiang Jin and Zhou-Jian Cao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.19392},
  eprint = {2608.19392},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.19392},
  note = {CC BY-SA 4.0},
}

RIS

TY  - UNPB
TI  - Action-level characterization of gravitational-wave propagation in dynamical Barbero--Immirzi gravity
AU  - Zhi-Fu Gao
AU  - Hui Wang
AU  - Luiz Carlos Garcia de Andrade
AU  - Na Wang
AU  - Guo-Qiang Jin
AU  - Zhou-Jian Cao
PY  - 2026
DA  - 2026/09/19
PB  - arXiv
DO  - 10.48550/arxiv.2608.19392
UR  - https://arxiv.org/abs/2608.19392
AB  - We investigate which operators in first-order dynamical Barbero--Immirzi (BI) gravity control cosmological tensor propagation at the action level. Within a bosonic, two-derivative, curvature-linear Einstein--Cartan class, eliminating the algebraic Lorentz connection reveals a separation between the scalar sector and the tensor kinetic normalization. In particular, the Holst-to-Palatini ratio determines the scalar kinetic structure, whereas the transverse-traceless tensor mode is normalized by the parity-even Hilbert--Palatini coefficient. As a consequence, a minimal dynamical Holst sector with fixed parity-even normalization remains exactly on the general-relativistic tensor-propagation surface and does not generate anomalous gravitational-wave friction. We then construct a regular nonminimal parity-even realization in which the tensor normalization evolves cosmologically, derive the corresponding standard-siren observable, and apply current GWTC-3, GWTC-4.0, and GWTC-5.0 information as an observational test of this action-level tensor sector. The resulting constraints should therefore be interpreted as limits on the evolution of the tensor kinetic normalization rather than direct constraints on minimal BI torsion dynamics.
ER  -

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