标题： 谱几何中扭转的障碍 显示英文标题

标题： An impediment to torsion from spectral geometry

摘要： 将扭力引入广义相对论的标准修改有着悠久的历史。 然而，对于其在物理上可接受的引力模型中是否存在，尚无令人信服的论据。 在本信中，我们基于谱几何（使用伪微分演算的方法）提供了一个论点，该论点表明应将扭力排除在考虑之外。 我们证明，在谱形式的爱因斯坦张量中，不存在一个可以扩展到包含扭力的情况的明确定义的功能性。 显示英文摘要

摘要： Modifications of standard general relativity that bring torsion into a game have a long-standing history. However, no convincing arguments exist for or against its presence in physically acceptable gravity models. In this Letter, we provide an argument based on spectral geometry (using methods of pseudo-differential calculus) that suggests that the torsion shall be excluded from the consideration. We demonstrate that there is no well-defined functional extending to the torsion-full case of the spectral formulation of the Einstein tensor.