引力的张量模拟能解释没有暗物质的星系自转曲线吗？
Can a tensorial analogue of gravitational force explain away the galactic rotation curves without dark matter?
摘要：
暗物质问题是现代物理学中最紧迫的问题之一。由于没有一个来自直接探测实验的明确声明来支持虚幻的暗物质的存在，而暗物质被假设来解释星系的平坦旋转曲线，而且由于引力的替代理论的整个问题仍然存在争议，因此可能值得重新考虑广义相对论（GR）本身的熟悉基础，以寻找可能的出路。最近人们发现，一个斜对称的三秩张量场--兰佐斯张量场--可以差分地产生外尔张量，它提供了牛顿引力的一个适当的相对论模拟。考虑到它的共形不变性，Lanczos张量导致一个修改的加速度定律，可以解释，在GR本身的框架内，平坦的旋转曲线的星系，而不需要任何暗物质。
英文摘要：
The dark matter problem is one of the most pressing problems in modern physics. As there is no well-established claim from a direct detection experiment supporting the existence of the illusive dark matter that has been postulated to explain the flat rotation curves of galaxies, and since the whole issue of an alternative theory of gravity remains controversial, it may be worth to reconsider the familiar ground of general relativity (GR) itself for a possible way out. It has recently been discovered that a skew-symmetric rank-three tensor field - the Lanczos tensor field - that generates the Weyl tensor differentially, provides a proper relativistic analogue of the Newtonian gravitational force. By taking account of its conformal invariance, the Lanczos tensor leads to a modified acceleration law which can explain, within the framework of GR itself, the flat rotation curves of galaxies without the need for any dark matter whatsoever.
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