Abstract
In this paper we explore the five-dimensional f (T, B) teleparallel modified gravity with f (1) (T, B) = T + k(1)B(n1) and f(2) (T, B) = B +
k(2)T(n2) in the brane scenario. Asymptotically, the bulk geometry
converges to an AdS(5) spacetime whose cosmological constant is produced
by parameters that control torsion and the boundary term. The analysis
of the energy density condition reveals a splitting brane process
satisfying the weak and strong energy conditions for some values of the
parameters n(1,2) and k(1,2). In addition, we investigate the behavior
of the gravitational perturbations in this scenario. In the bulk, the
torsion keeps a gapless nonlocalizable and stable tower of massive
modes. Inside the brane core, the torsion produces new barriers and
potential wells leading to small amplitude massive modes and a massless
mode localized for some values of the parameters n(1,2) and k(1,2).
