Power-law solutions in $f(T)$ gravity

Details Power-law solutions in $f(T)$ gravity Power-law solutions in $f(T)$ gravity

2011-10-18

arxiv.org/abs/1110.3962v1

Physics

General Physics

9 pages. arXiv admin note: substantial text overlap with arXiv:1104.1904

Scientific paper

We have considered an action of the form $T+f(T)+L_m$ describing Einstein's gravity coupled with perfect fluid plus a function of the torsion scalar. By assuming an exact power-law solution for the scale factor we have obtained the Friedmann equation as a differential equation for the function $f(T)$ in the spatially flat universe and obtained the real valued solutions of this equation for some power-law solutions. We have also studied the power-law solutions of the scale factor when the universe enters a Phantom phase and shown that such power-law solutions may exist for this cosmological model.

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