Han Dong, Ying-Bin Wang, Xin-He Meng
f(T) gravity, a generally modified teleparallel gravity, has become very popular at recent times as it is able to reproduce the unification of inflation and late-time acceleration with no need of a dark energy component or an inflation field. In this present work, we investigate specifically the range of validity of Birkhoff's theorem and present a new spherically symmetric solution in the frame of $f(T)$ gravity upto the perturbative order. We also compare the results in the Jordan and the so-called Einstein frames via conformal transformation. The meaning of results respond to the physical equivalence between both frames, at least the perturbative order is discussed. This analysis obtains some conditions for Birkhoff's theorem to be hold in the modified gravity.
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http://arxiv.org/abs/1205.6385
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