论文标题
使用局部可观察结果测试以银河系的测试重力（MOG）理论和暗物质模型
Testing MOdified Gravity (MOG) theory and dark matter model in Milky Way using the local observables
论文作者
论文摘要
在本文中，我们通过测试了其用重重症的垂直方向和横向方向来描述银河系的局部动力学的能力，研究了名为“修饰重力（MOG）”暗物质的另一种理论。 MOG旨在解释星系和星系簇的动态，而无需暗物质。我们使用局部观察数据，例如以银河系方式垂直分散曲线，旋转曲线，表面密度和恒星的数量密度来获得MOG的参数以及MW的Baryonic成分，通过基于Markov Chain Monte Carlo Monte Monte Carlo方法实现贝叶斯的方法来获得参数估计的方法。我们将结果与MW的暗物质模型进行比较。 MOG和CDM的两个模型能够很好地描述局部MW中恒星的旋转曲线和垂直动力学。在此分析中，MOG的免费参数的最佳值是获得$α= 8.99 \ pm 0.02 $和$μ= 0.054 \ pm 0.005 $ kpc $^{ - 1} $。同样，我们在暗物质模型中获得了广义GNFW模型的参数。 MOG的凸起质量的最佳价值是$（1.06 \ pm 0.26）\ times10^{10} \ rm m _ {\ odot} $，与估算形成微透镜观测值是一致的。
In this paper, we have investigated one of the alternative theories to dark matter named MOdified Gravity (MOG) by testing its ability to describe the local dynamics of the Milky Way in vertical and transverse directions with the baryonic matter. MOG is designed to interpret the dynamics of galaxies and cluster of galaxies without the need for dark matter. We use local observational data such as the vertical dispersion, rotation curve, surface density and number density of stars in the Milky Way to obtained the parameters of MOG and the baryonic component of MW by implementing a Bayesian approach to the parameter estimation based on a Markov Chain Monte Carlo method. We compare our results with the dark matter model of MW. The two models of MOG and CDM are able to describe equally well the rotation curve and the vertical dynamics of stars in the local MW. The best values for the free parameters of MOG in this analysis is obtained as $α= 8.99 \pm 0.02 $ and $μ=0.054\pm 0.005$ kpc$^{-1}$. Also, we obtain the parameters of the generalized gNFW model in the dark matter model. Our best value of bulge mass from MOG is $(1.06 \pm 0.26)\times10^{10}\rm M_{\odot}$ which is consistent with the estimations form the microlensing observations.
