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arXiv · 1511.07143

Tensor perturbations of $f(T)$-branes

Wen-Di Guo·Qi-Ming Fu·Yu-Peng Zhang·Yu-Xiao Liu
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Abstract

We explore the tensor perturbation of the $f(T)$ brane embedded in an AdS$_5$ 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+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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Wen-Di Guo, Qi-Ming Fu, Yu-Peng Zhang, Yu-Xiao Liu. 2015-11-23. Tensor perturbations of $f(T)$-branes. https://doi.org/10.1103/physrevd.93.044002

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