Regular Article - Theoretical Physics
Stability in quadratic torsion theories
Departamento de Física Teórica I, Universidad Complutense de Madrid, 28040, Madrid, Spain
* e-mail: email@example.com
Accepted: 24 October 2017
Published online: 10 November 2017
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.
© The Author(s), 2017