Vector stability in quadratic metric-affine theories

In this work we study the stability of the four vector irreducible pieces of the torsion and the nonmetricity tensors in the general quadratic metric-affine Lagrangian in 4 dimensions. The goal will be to elucidate under which conditions the spin-1 modes associated to such vectors can propagate in a...

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Bibliographic Details
Published in:Journal of cosmology and astroparticle physics 2022-09, Vol.2022 (9), p.44
Main Authors: Jiménez-Cano, Alejandro, Maldonado Torralba, Francisco José
Format: Article
Language:English
Subjects:
Gravitons
gravity
Mathematical analysis
modified gravity
Parameters
Stability
Tensors
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Summary:In this work we study the stability of the four vector irreducible pieces of the torsion and the nonmetricity tensors in the general quadratic metric-affine Lagrangian in 4 dimensions. The goal will be to elucidate under which conditions the spin-1 modes associated to such vectors can propagate in a safe way, together with the graviton. This highly constrains the theory reducing the parameter space of the quadratic curvature part from 16 to 5 parameters. We also study the sub-case of Weyl-Cartan gravity, proving that the stability of the vector sector is only compatible with an Einstein-Proca theory for the Weyl vector.
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2022/09/044