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Abstract:

It is shown that the extended teleparallel gravitational theories, known as f(T) theories, inherit some on shell local Lorentz invariance associated with the tetrad field defining the spacetime structure. We discuss some enlightening examples, such as Minkowski spacetime and cosmological (Friedmann-Robertson-Walker and Bianchi type I) manifolds. In the first case, we show that the absence of gravity reveals itself as an incapability in the selection of a preferred parallelization at a local level, due to the fact that the infinitesimal local Lorentz subgroup acts as a symmetry group of the frame characterizing Minkowski spacetime. Finite transformations are also discussed in these examples and, contrary to the common lore on the subject, we conclude that the set of tetrads responsible for the parallelization of these manifolds is quite vast and that the remnant group of local Lorentz transformations includes one- and two-dimensional Abelian subgroups of the Lorentz group. © 2015 American Physical Society.

Registro:

Documento: Artículo
Título:Remnant group of local Lorentz transformations in f (T) theories
Autor:Ferraro, R.; Fiorini, F.
Filiación:Instituto de Astronomía y Física Del Espacio (IAFE, CONICET-UBA), Casilla de Correo 67, Sucursal 28, Buenos Aires, 1428, Argentina
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Instituto Balseiro, Universidad Nacional de Cuyo, Bariloche, R8402AGP, Argentina
Año:2015
Volumen:91
Número:6
DOI: http://dx.doi.org/10.1103/PhysRevD.91.064019
Título revista:Physical Review D - Particles, Fields, Gravitation and Cosmology
Título revista abreviado:Phys Rev D Part Fields Gravit Cosmol
ISSN:15507998
CODEN:PRVDA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v91_n6_p_Ferraro

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Citas:

---------- APA ----------
Ferraro, R. & Fiorini, F. (2015) . Remnant group of local Lorentz transformations in f (T) theories. Physical Review D - Particles, Fields, Gravitation and Cosmology, 91(6).
http://dx.doi.org/10.1103/PhysRevD.91.064019
---------- CHICAGO ----------
Ferraro, R., Fiorini, F. "Remnant group of local Lorentz transformations in f (T) theories" . Physical Review D - Particles, Fields, Gravitation and Cosmology 91, no. 6 (2015).
http://dx.doi.org/10.1103/PhysRevD.91.064019
---------- MLA ----------
Ferraro, R., Fiorini, F. "Remnant group of local Lorentz transformations in f (T) theories" . Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 91, no. 6, 2015.
http://dx.doi.org/10.1103/PhysRevD.91.064019
---------- VANCOUVER ----------
Ferraro, R., Fiorini, F. Remnant group of local Lorentz transformations in f (T) theories. Phys Rev D Part Fields Gravit Cosmol. 2015;91(6).
http://dx.doi.org/10.1103/PhysRevD.91.064019