TY - JOUR
T1 - Standard Abelian duality transformations in f(T) gravity
TT - تبدیلات دوگانگی آبلی استاندارد در گرانش f(T)
JF - IJPR
JO - IJPR
VL - 18
IS - 1
UR - http://ijpr.iut.ac.ir/article-1-2222-en.html
Y1 - 2018
SP - 23
EP - 29
KW - Abelian duality transformations
KW - String effective action
KW - f(T) gravity
N2 - According to the perturbation order, the equations of motion of low-energy string effective action are the generalized Einstein equations. Thus, by making use of the conformal transformation of the metric tensor, it is possible to map the low-energy string effective action into f(T) gravity, relating the dilaton field to the torsion scalar. Considering a homogeneous and isotropic universe and writing the canonical Lagrangian for f(T) gravity, we show that the invariance under the duality transformation holds for the cosmic scale factor a(t) at the level of the Lagrangian. Finally, by use of the dualized Lagrangian and also the invariance of torsion scalar under the scale factor duality a(t)→1/a(t), the specific form of the f(T) function is obtained.
M3 10.29252/ijpr.18.1.23
ER -