RT Journal Article
T1 Stability in quadratic torsion theories
A1 Borislavov Vasilea, Teodor
A1 Ruiz Cembranos, José Alberto
A1 Gigante Valcarcel, Jorge
A1 Martín Moruno, María Del Prado
AB 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.
PB Springer
SN 1434-6044
YR 2017
FD 2017-11-10
LK https://hdl.handle.net/20.500.14352/18600
UL https://hdl.handle.net/20.500.14352/18600
LA eng
NO © 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.
NO Ministerio de Economía y Competitividad (MINECO)
NO AEI/FEDER, UE
NO Consolider-Ingenio MULTIDARK
DS Docta Complutense
RD 8 oct 2025