Abstract
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 ${M}_{L}=(1+\ensuremath{\alpha}){M}_{b}=5.2\ifmmode\times\else\texttimes\fi{}{10}^{12}\text{ }\text{ }{M}_{\ensuremath{\bigodot}}$ within $R=18.3\text{ }\text{ }\mathrm{kpc}$ for a baryon mass ${M}_{b}=1.0\ifmmode\times\else\texttimes\fi{}{10}^{12}\text{ }\text{ }{M}_{\ensuremath{\bigodot}}$ within the same radius produces the observed Einstein ring angular radius ${\ensuremath{\theta}}_{E}=1{0}^{\ensuremath{'}\ensuremath{'}}$. 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.
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