Vector stability in quadratic metric-affine theories

Autor:	Jiménez-Cano, Alejandro, Torralba, Francisco José Maldonado
Rok vydání:	2022
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory
Druh dokumentu:	Working Paper
DOI:	10.1088/1475-7516/2022/09/044
Popis:	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. Comment: 23 pages, no figures, no tables. Some parts have been extended, rewritten and clarified. Version accepted for publication in JCAP
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.05674 Zobrazit plný text záznamu View this record from Arxiv