Extended Birkhoff's Theorem in the f(T) Gravity

Details Extended Birkhoff's Theorem in the f(T) Gravity Extended Birkhoff's Theorem in the f(T) Gravity

2012-03-27

arxiv.org/abs/1203.5890v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 1 figure, submitted to EPJ-C. arXiv admin note: substantial text overlap with arXiv:1107.0629

Scientific paper

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 holds in a more general context, specifically with the off diagonal tetrad case, in this communication letter. Then, we discuss respectively the results of the external vacuum and internal gravitational field in the f(T) gravity framework, as well as the extended meaning of this theorem. We also investigate 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, and study the equivalence between both Einstein frame and Jordan frame.

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