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We consider $f(T)$ gravity for a Weitzenbock spherically symmetric and static spacetime, where the metric is projected in the tangent space to the manifold for a set of non-diagonal tetrads.
R. Weitzenbock, Noordhoff, Groningen; Chap. XIII, Sec 7 (1923)
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2012
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Baojiu Li, T. P. Sotiriou, and J. D. Barrow, Phys. Rev. D 83
2011
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R. Aldrovandi and J. G. Pereira, An Introduction to Teleparallel Gravity, Instituto de Fisica Teorica, UNSEP, Sao Paulo (http://www.ift.unesp.br/gcg/tele.pdf)
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