Galaxy Cluster A1689 in Modified MOND, MOG and Emergent Gravity
  We model the cluster A1689 in two modified MOND frameworks (EMOND and what we
call generalised MOND or GMOND) with the aim of determining whether it is
possible to explain the inferred acceleration profile, from gravitational
lensing, without the aid of dark matter. We also compare our result to
predictions from MOG/STVG and Emergent Gravity. By using a baryonic mass model,
we determine the total gravitational acceleration predicted by the modified
gravitational equations and compare the result to NFW profiles of dark matter
studies on A1689 from the literature. Theory parameters are inferred
empirically, with the aid of previous work. We are able to reproduce the
desired acceleration profile of A1689 for GMOND, EMOND and MOG, but not
Emergent Gravity. There is much more work which needs to be conducted with
regards to understanding how the GMOND parameters behave in different
environments. Furthermore, we show that the exact baryonic profile becomes very
important when undertaking modified gravity modelling rather than {\Lambda}CDM.
