Vector stability in quadratic metric-affine theories
Abstract
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.
Keywords
Cite
@article{arxiv.2205.05674,
title = {Vector stability in quadratic metric-affine theories},
author = {Alejandro Jiménez-Cano and Francisco José Maldonado Torralba},
journal= {arXiv preprint arXiv:2205.05674},
year = {2022}
}
Comments
23 pages, no figures, no tables. Some parts have been extended, rewritten and clarified. Version accepted for publication in JCAP