%0 Journal Article
%A Borislavov Vasilea, Teodor
%A Ruiz Cembranos, José Alberto
%A Gigante Valcarcel, Jorge
%A Martín Moruno, Prado
%T Stability in quadratic torsion theories
%D 2017
%@ 1434-6044
%U https://hdl.handle.net/20.500.14352/18600
%X 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.
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