Remnant group of local Lorentz transformations in f (T) theories

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-...

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Autores principales: Ferraro, R., Fiorini, F.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15507998_v91_n6_p_Ferraro
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_15507998_v91_n6_p_Ferraro2023-10-03T16:25:10Z Remnant group of local Lorentz transformations in f (T) theories Ferraro, R. Fiorini, F. 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. Fil:Ferraro, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Fiorini, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15507998_v91_n6_p_Ferraro
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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.
format JOUR
author Ferraro, R.
Fiorini, F.
spellingShingle Ferraro, R.
Fiorini, F.
Remnant group of local Lorentz transformations in f (T) theories
author_facet Ferraro, R.
Fiorini, F.
author_sort Ferraro, R.
title Remnant group of local Lorentz transformations in f (T) theories
title_short Remnant group of local Lorentz transformations in f (T) theories
title_full Remnant group of local Lorentz transformations in f (T) theories
title_fullStr Remnant group of local Lorentz transformations in f (T) theories
title_full_unstemmed Remnant group of local Lorentz transformations in f (T) theories
title_sort remnant group of local lorentz transformations in f (t) theories
url http://hdl.handle.net/20.500.12110/paper_15507998_v91_n6_p_Ferraro
work_keys_str_mv AT ferraror remnantgroupoflocallorentztransformationsinfttheories
AT fiorinif remnantgroupoflocallorentztransformationsinfttheories
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