Abstract

We explore the tensor perturbation of the f(T)f(T) brane embedded in an AdS5_5 spacetime. With the transverse-traceless condition, we get the tensor perturbation equation of the f(T)f(T) brane and show that the stability of this brane system can be ensured. In addition, we take f(T)=T+αT2 f(T)=T+αT^2 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.

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