We study properties of static spherically symmetric solutions in $f\left(\mathbb{T}\right)$ gravity. Based on our previous work on generalizing Bianchi identities for this kind of theory, we show how this search for solutions can be reduced to the study of two relatively simple equations. One of them does not depend on the function f and therefore describes the properties of such solutions in any $f\left(\mathbb{T}\right)$ theory. Another equation is the radial one and, if a possible solution is chosen, it allows the discovery of which function f is suitable for it. We use these equations to find exact and perturbative solutions for arbitrary and specific choices of f.

中文翻译：

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f（T）引力中球对称解的方法

我们研究静态球对称解的性质 $F（\mathbb{Ť}）$重力。基于我们先前针对这种理论推广Bianchi恒等式的工作，我们展示了如何将求解答的方法简化为研究两个相对简单的方程式。其中之一不依赖于函数f，因此在任何情况下都描述了此类解决方案的性质$F（\mathbb{Ť}）$理论。另一个方程是径向方程，如果选择了可能的解决方案，则它允许发现哪个函数f适用于径向方程。我们使用这些方程式找到f的任意和特定选择的精确和摄动解。