Regularization of f(T) Gravity Theories and Local Lorentz Transformation

We regularized the field equations of f(T) gravity theories such that the effect of local Lorentz transformation (LLT), in the case of spherical symmetry, is removed. A “general tetrad field,” with an arbitrary function of radial coordinate preserving spherical symmetry, is provided. We split that t...

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Main Author: Gamal G. L. Nashed
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2015/680457
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author Gamal G. L. Nashed
author_facet Gamal G. L. Nashed
author_sort Gamal G. L. Nashed
collection DOAJ
description We regularized the field equations of f(T) gravity theories such that the effect of local Lorentz transformation (LLT), in the case of spherical symmetry, is removed. A “general tetrad field,” with an arbitrary function of radial coordinate preserving spherical symmetry, is provided. We split that tetrad field into two matrices; the first represents a LLT, which contains an arbitrary function, and the second matrix represents a proper tetrad field which is a solution to the field equations of f(T) gravitational theory (which are not invariant under LLT). This “general tetrad field” is then applied to the regularized field equations of f(T). We show that the effect of the arbitrary function which is involved in the LLT invariably disappears.
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spelling doaj-art-ad7a2cd457214542afb6bbc92e64bc0f2025-02-03T01:24:08ZengWileyAdvances in High Energy Physics1687-73571687-73652015-01-01201510.1155/2015/680457680457Regularization of f(T) Gravity Theories and Local Lorentz TransformationGamal G. L. Nashed0Centre for Theoretical Physics, The British University in Egypt, P.O. Box 43, Sherouk City 11837, EgyptWe regularized the field equations of f(T) gravity theories such that the effect of local Lorentz transformation (LLT), in the case of spherical symmetry, is removed. A “general tetrad field,” with an arbitrary function of radial coordinate preserving spherical symmetry, is provided. We split that tetrad field into two matrices; the first represents a LLT, which contains an arbitrary function, and the second matrix represents a proper tetrad field which is a solution to the field equations of f(T) gravitational theory (which are not invariant under LLT). This “general tetrad field” is then applied to the regularized field equations of f(T). We show that the effect of the arbitrary function which is involved in the LLT invariably disappears.http://dx.doi.org/10.1155/2015/680457
spellingShingle Gamal G. L. Nashed
Regularization of f(T) Gravity Theories and Local Lorentz Transformation
Advances in High Energy Physics
title Regularization of f(T) Gravity Theories and Local Lorentz Transformation
title_full Regularization of f(T) Gravity Theories and Local Lorentz Transformation
title_fullStr Regularization of f(T) Gravity Theories and Local Lorentz Transformation
title_full_unstemmed Regularization of f(T) Gravity Theories and Local Lorentz Transformation
title_short Regularization of f(T) Gravity Theories and Local Lorentz Transformation
title_sort regularization of f t gravity theories and local lorentz transformation
url http://dx.doi.org/10.1155/2015/680457
work_keys_str_mv AT gamalglnashed regularizationofftgravitytheoriesandlocallorentztransformation