f（T）引力中的Birkhoff定理
Birkhoff's theorem in the f(T) gravity
摘要：
$f(T)$引力是从与广义相对论完全等价的所谓的平行引力理论中推广而来的，它被认为是解释暗能量现象的另一种引力模型。本文证明了在$f(T)$引力框架中，球对称分布的源物质的外部真空引力场必定是静态的，并且这个结论与源物质的径向分布和球对称运动无关，即与源物质的运动或静态无关。因此，Birkhoff定理在一般的$f(T)$理论中是有效的。我们还讨论了它在deSitter时空演化阶段的应用，而不是现在的暗能量观测。
英文摘要：
Generalized from the so-called teleparallel gravity which is exactly equivalent to general relativity, the $f(T)$ gravity has been proposed as an alternative gravity model to account for the dark energy phenomena. In this letter we prove that the external vacuum gravitational field for a spherically symmetric distribution of source matter in the $f(T)$ gravity framework must be static and the conclusion is independent of the radial distribution and spherically symmetric motion of the source matter that is, whether it is in motion or static. As a consequence, the Birkhoff's theorem is valid in the general $f(T)$ theory. We also discuss its application in the de Sitter space-time evolution phase as preferred to by the nowadays dark energy observations.
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