Applying Modified Gravity (MOG) to the Lensing and Einstein Ring in Abell 3827

TL;DR

This paper demonstrates that Modified Gravity (MOG) can accurately reproduce the lensing and Einstein ring observations in galaxy cluster Abell 3827 without invoking dark matter, matching results from General Relativity with dark matter.

Contribution

The study shows that MOG can explain lensing phenomena in Abell 3827 without dark matter, providing an alternative to standard gravity models.

Findings

MOG reproduces the Einstein ring in Abell 3827.

MOG fits lensing data without dark matter.

Results comparable to General Relativity with dark matter.

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 $M_L=(1+\alpha)M_b=5.2\times 10^{12} M_\odot$ 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 $\theta_E=10''$. 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.