标题： 比较$f(R)$修改引力和非对易几何在暗物质和可穿越虫洞背景下的研究 显示英文标题

标题： Comparing $f(R)$ modified gravity and noncommutative geometry in the context of dark matter and traversable wormholes: a survey

摘要： 非交换几何，由Nicolini、Smailagic和Spallucci提出，可以被视为对爱因斯坦理论的轻微修改。对于适当的函数$f(R)$，$f(R)$修改的引力理论也是如此。由于这样的$f(R)$可以从非交换几何背景中确定，这些引力理论在讨论（a）暗物质和（b）可穿越虫洞时做出非常相似的预测；因此它们可以被视为同样可行的模型。 显示英文摘要

摘要： Noncommutative geometry, as conceptualized by Nicolini, Smailagic, and Spallucci, may be viewed as a slight modification of Einstein's theory. The same can be said for $f(R)$ modified gravity for an appropriate choice of the function $f(R)$. Since such an $f(R)$ could be determined from the noncommutative-geometry background, these gravitational theories make very similar predictions in the discussion of (a) dark matter and (b) traversable wormholes; they can therefore be taken as equally viable models.