Stability in quadratic torsion theories

Autor: Vasilev, Teodor Borislavov, Cembranos, Jose A. R., Valcarcel, Jorge Gigante, Martín-Moruno, Prado
Rok vydání: 2017
Předmět:
Zdroj: Eur. Phys. J. C (2017) 77:755
Druh dokumentu: Working Paper
DOI: 10.1140/epjc/s10052-017-5331-6
Popis: We revisit the definition and some of the characteristics of quadratic theories of gravity with torsion. We start from the most general Lagrangian density quadratic in the curvature and torsion tensors. By assuming that General Relativity should be recovered when torsion vanishes and investigating the behaviour of the vector and pseudovector 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.
Comment: A missing -1 factor in the pseudo-vectorial sector has been detected in Appendix D, conclusions partially changed in sections 3.3 and 4
Databáze: arXiv