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Stability in quadratic torsion theories

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

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Official URL: http://dx.doi.org/10.1140/epjc/s10052-017-5331-6




Abstract

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:06 Feb 2019 18:05

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