We explore the tensor perturbation of the f(T) brane embedded in an AdS5 spacetime. With the transverse-traceless condition, we get the tensor perturbation equation of the f(T) brane and show that the stability of this brane system can be ensured. In addition, we take f(T)=T+αT2 as an example to analyse the localization problem of the graviton zero mode. It is shown that the graviton zero mode can be localized on the brane.
@article{arxiv.1511.07143,
title = {Tensor perturbations of $f(T)$-branes},
author = {Wen-Di Guo and Qi-Ming Fu and Yu-Peng Zhang and Yu-Xiao Liu},
journal= {arXiv preprint arXiv:1511.07143},
year = {2016}
}