Linear growth in power law $f(T)$ gravity

Abstract

We provide for the first time the growth index of linear matter fluctuations of the power law $f(T)\propto (-T{)}^b$ gravity model. We find that the asymptotic form of this particular $f(T)$ model is $\gamma \approx \frac{6}{11-6b}$ which obviously extends that of the $\Lambda$CDM model, ${\gamma }_{\Lambda }\approx 6/11$. Finally, we generalize the growth index analysis of $f(T)$ gravity in the case where $\gamma$ is allowed to vary with redshift.

8 pages, 3 figures, accepted for publication by Phys. Rev. D (typos corrected: this is the published version)

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