Eur. Phys. J. Plus (2017) 132: 417
https://doi.org/10.1140/epjp/i2017-11684-4

Regular Article

Modified gravity (MOG) and the Abell 1689 cluster acceleration data

¹ Perimeter Institute for Theoretical Physics, 31 Caroline St. N., N2L 2Y5, Waterloo, ON, Canada
² Department of Physics, Sharif University of Technology, P.O. Box 11155-9161, Tehran, Iran

^* e-mail: jmoffat@perimeterinstitute.ca

Received: 27 April 2017
Accepted: 30 August 2017
Published online: 10 October 2017

Abstract

The galaxy cluster system Abell 1689 has been well studied and yields good lensing and X-ray gas data. Modified gravity (MOG) is applied to the Abell 1689 cluster and the acceleration data is well fitted without assuming dark matter. Newtonian dynamics and modified Newtonian dynamics (MOND) are shown not to fit the acceleration data, while a dark matter model based on the Navarro-Frenk-White (NFW) mass profile is shown to fit the acceleration data for the radial range kpc.