标题： 时空各向异性对星系旋转曲线的影响 显示英文标题

标题： Effects of spacetime anisotropy on the galaxy rotation curves

摘要： 银河旋转曲线的观测结果与牛顿理论存在显著差异。 这一问题可以通过时空各向异性的效应来解释。 相反，银河旋转曲线也可以用来约束时空的各向异性。 芬斯勒几何是一种内在各向异性的几何。 在本文中，我们研究了在芬斯勒时空中星系尺度上时空各向异性的影响。 发现芬斯勒模型与米尔格罗姆的MOND有密切关系。 通过对银河旋转曲线进行最佳拟合，我们发现当牛顿加速度\(GM/r^2\)小于临界加速度\(a_0\)时，时空的各向异性效应变得显著。 有趣的是，临界加速度\(a_0\)虽然在不同星系中有所变化，但其数量级在\(cH_0/2\pi\sim 10^{-10} \rm{m\,\, s^{-2}}\)左右。 显示英文摘要

摘要： The observations on galaxy rotation curves show significant discrepancies from the Newtonian theory. This issue could be explained by the effect of the anisotropy of the spacetime. Conversely, the spacetime anisotropy could also be constrained by the galaxy rotation curves. Finsler geometry is a kind of intrinsically anisotropic geometry. In this paper, we study the effect of the spacetime anisotropy at the galactic scales in the Finsler spacetime. It is found that the Finslerian model has close relations with the Milgrom's MOND. By performing the best-fit procedure to the galaxy rotation curves, we find that the anisotropic effects of the spacetime become significant when the Newtonian acceleration \(GM/r^2\) is smaller than the critical acceleration \(a_0\). Interestingly, the critical acceleration \(a_0\), although varies between different galaxies, is in the order of magnitude \(cH_0/2\pi\sim 10^{-10} \rm{m\,\, s^{-2}}\).