We determine the complete space-time metric from the bootstrapped Newtonian potential generated by a static spherically symmetric source in the surrounding vacuum. This metric contains post-Newtonian parameters which can be further used to constrain the underlying dynamical theory and quantum state of gravity. For values of the post-Newtonian parameters within experimental bounds, the reconstructed metric appears very close to the Schwarzschild solution of general relativity in the whole region outside the event horizon. The latter is however larger in size for the same value of the mass compared to the Schwarzschild case.

中文翻译：

---

自举牛顿源外的有效度量

我们根据周围真空中的静态球对称源所产生的自举牛顿势来确定完整的时空度量。该度量包含牛顿后参数，该参数可进一步用于约束基本的动力学理论和重力量子状态。对于实验范围内的后牛顿参数值，在事件视界之外的整个区域中，重构的度量似乎非常接近广义相对论的Schwarzschild解。但是，与Schwarzschild案例相比，对于相同的质量值，后者的大小更大。