Han Dong, Ying-bin Wang, Xin-he Meng
The f(T) theory, a generally modified teleparallel gravity, has been proposed as an alternative gravity model to account for the dark energy phenomena. Following our previous work[Xin-he Meng and Ying-bin Wang, EPJC(2011), arXiv:1107.0629v1], we prove that the Birkhoff's theorem in a more general context holds in this communication letter, specifically with the off diagonal tetrad case. Then, we have discussed respectively the results of the external vacuum and internal gravitational field in the f(T) gravity framework. The more extended meaning of this theorem is also discussed. We also discuss the validity of the Birkhoff's theorem in the frame of f(T) gravity via conformal transformation by regarding the Brans-Dicke-like scalar as effective matter. Both the Jordan and Einstein frames are discussed.
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http://arxiv.org/abs/1203.5890
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