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oai:docta.ucm.es:20.500.14352/186002024-09-03T16:39:30Zcom_20.500.14352_14col_20.500.14352_15

Stability in quadratic torsion theories Borislavov Vasilea, Teodor Ruiz Cembranos, José Alberto Gigante Valcarcel, Jorge Martín Moruno, María Del Prado © The Author(s) 2017. The authors acknowledge Y. N. Obukov for useful discussions. This work was partly supported by the projects FIS2014-52837-P (Spanish MINECO) and FIS2016-78859-P (AEI/FEDER, UE), and Consolider-Ingenio MULTIDARK CSD2009- 00064. PMM was funded by MINECO through the postdoctoral training contract FPDI-2013-16161 during part of this work. We revisit the definition and some of the characteristics of quadratic theories of gravity with torsion. We start from a Lagrangian density quadratic in the curvature and torsion tensors. By assuming that General Relativity should be recovered when the torsion vanishes and investigating the behaviour of the vector and pseudo-vector torsion fields in the weak-gravity regime, we present a set of necessary conditions for the stability of these theories. Moreover, we explicitly obtain the gravitational field equations using the Palatini variational principle with the metricity condition implemented via a Lagrange multiplier. 2023-06-17T22:31:31Z 2023-06-17T22:31:31Z 2017-11-10 journal article 1434-6044 10.1140/epjc/s10052-017-5331-6 https://hdl.handle.net/20.500.14352/18600 http://dx.doi.org/10.1140/epjc/s10052-017-5331-6 https://link.springer.com https://arxiv.org/abs/1706.07080 eng FIS2014-52837-P; FIS2016-78859-P CSD2009- 00064 FPDI-2013-16161 https://creativecommons.org/licenses/by/3.0/es/ open access Atribución 3.0 España Springer