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We have considered an action of the form $T+f(T)+L_m$ describing Einstein's gravity plus a function of the torsion scalar.
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S. Nojiri, S. D. Odintsov, 0707.1941v2 [hep-th];S. Nojiri, S. D. Odintsov, 0710.1738v2 [hep-th]; G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov, L. Sebastiani, S. Zerbini, 0712.4017v1 [hep-th]
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Y-Fu Cai, S-Hung Chen, J. B. Dent, S. Dutta, and E. N. Saridakis arxiv:1104.4349v2
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2011
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