Abstract
A proper test of Modified Newtonian Dynamics (MOND) in systems of non-trivial
geometries depends on modelling subtle differences in several versions of its
postulated theories. This is especially important for lensing and dynamics of
barely virialised galaxy clusters with typical gravity of scale $a_0 \sim
1\AAs^-2$. The original MOND formula, the classical single field
modification of the Poisson equation, and the multi-field general relativistic
theory of Bekenstein (TeVeS) all lead to different predictions as we stray from
spherical symmetry. In this paper, we study a class of analytical MONDian
models for a system with a semi-Hernquist baryonic profile. After presenting
the analytical distribution function of the baryons in spherical limits, we
develop orbits and gravitational lensing of the models in non-spherical
geometries. In particular, we can generate a multi-centred baryonic system with
a weak lensing signal resembling that of the merging galaxy cluster 1E 0657-56
with a bullet-like light distribution. We finally present analytical scale-free
highly non-spherical models to show the subtle differences between the single
field classical MOND theory and the multi-field TeVeS theory.
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