论文标题
在Abell 3827中将改良的重力（MOG）应用于镜头和爱因斯坦环
Applying Modified Gravity (MOG) to the Lensing and Einstein Ring in Abell 3827
论文作者
论文摘要
在修饰的重力理论mog中，复制了星系簇Abell 3827核心的镜头和爱因斯坦环。估计有效的镜头质量$ m_l =（1+α）m_b = 5.2 \ times 10^{12} {12} m_ \ odot $ $ r = 18.3 $ 〜kpc，用于baryon质量$ m_b = 1.0 \ times 10^{12} {12} m_ \ odot $在同一radius in and radius in and radius in and radius in and radius in and radius in and a and s a angulus ins an angular angular insever uniful yous in'''nius in''niust in''''''niust = 10'总镜头质量的详细推导基于星系内簇，内部光线和X射线发射的集群构型的建模。 MOG可以在Abell 3827中适合镜头和爱因斯坦环，而无需暗物质以及与暗物质的一般相对论。
The lensing and Einstein ring at the core of the galaxy cluster Abell 3827 are reproduced in the modified gravity theory MOG. The estimated effective lensing mass $M_L=(1+α)M_b=5.2\times 10^{12} M_\odot$ within $R=18.3$~kpc for a baryon mass $M_b=1.0\times 10^{12} M_\odot$ within the same radius produces the observed Einstein ring angular radius $θ_E=10''$. A detailed derivation of the total lensing mass is based on modeling of the cluster configuration of galaxies, intracluster light and X-ray emission. The MOG can fit the lensing and Einstein ring in Abell 3827 without dark matter as well as General Relativity with dark matter.
