Stability in quadratic torsion theories



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Borislavov Vasilea, Teodor and Ruiz Cembranos, José Alberto and Gigante Valcarcel, Jorge and Martín Moruno, Prado (2017) Stability in quadratic torsion theories. European physical journal C, 77 (11). ISSN 1434-6044

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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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© 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.

Uncontrolled Keywords:free gravity lagrangians; Poincare Gauge-theory; General-ralativity; Propagating torsion; Birkhoff theorem; Gauss-Bonnet; Space-time.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:48022
Deposited On:04 Jul 2018 08:46
Last Modified:21 Nov 2022 17:28

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