Standard Abelian duality transformations in f(T) gravity

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ATARZADEH M.; EGHBALI A.

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Journal: Iranian Journal of Physics Research Year:2018 | Volume:18 | Issue:1 Page(s): 23-29

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Title

Standard Abelian duality transformations in f(T) gravity

Author(s)

ATARZADEH M. | EGHBALI A. | Issue Writer Certificate

Keywords

Abelian duality transformationsQ1

string effective actionQ1

f (T) gravityQ1

Abstract

According to the perturbation order, the equations related to the motion of low-energy string effective action are, in fact, a type of generalization of Einstein equations. Thus, by usingthe conformal transformation of the metric tensor, the lowenergy string effective action into f (T) gravity is shown, with a relationship between the dilaton field and the torsion scalar. Considering a homogeneous and isotropic universe for the canonical Lagrangian of f (T) gravity, we show that this lagrangian is kept invariant under the transformations of the metric tensor and abelian duality (scale factor duality). Finally, by the use of the dualized Lagrangian and also, the invariance of torsion scalar T under the transformation of the scale factor duality a(t) 1/ a(t), the precise form of the f (T) function is obtained.

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APA: Copy

ATARZADEH, M., & EGHBALI, A.. (2018). Standard Abelian duality transformations in f(T) gravity. IRANIAN JOURNAL OF PHYSICS RESEARCH, 18(1 ), 23-29. SID. https://sid.ir/paper/1431/en

Vancouver: Copy

ATARZADEH M., EGHBALI A.. Standard Abelian duality transformations in f(T) gravity. IRANIAN JOURNAL OF PHYSICS RESEARCH[Internet]. 2018;18(1 ):23-29. Available from: https://sid.ir/paper/1431/en

IEEE: Copy

M. ATARZADEH, and A. EGHBALI, “Standard Abelian duality transformations in f(T) gravity,” IRANIAN JOURNAL OF PHYSICS RESEARCH, vol. 18, no. 1 , pp. 23–29, 2018, [Online]. Available: https://sid.ir/paper/1431/en

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